Can anyone help me to run this coding?

30 visualizaciones (últimos 30 días)
Sanju Jangir
Sanju Jangir el 3 de Dic. de 2024 a las 10:53
Editada: Torsten el 3 de Dic. de 2024 a las 12:48
RekhaAl2O3CuSiO2TiO2Water_My14PaperCoding()
ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
0 0 NaN 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -4.95261114166381e-14
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -1.70783380211543e-14
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -1.03182089464865e-14
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -7.39216407886729e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -5.75901780523335e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -4.71691309070662e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -3.99416219840075e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -3.46347054135655e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -3.05726185938896e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -2.73633440296135e-15
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
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ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
NaN 0 NaN 0 NaN
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ff = 5×1
0 0 0 0 0
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ff = 5×1
0 0 -Inf 0 0
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ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
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ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
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ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -2.47638306282591e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -2.26153736683265e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -2.08099471768041e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -1.92714705636603e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * -1.49011611938477e-14 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 1.49011611938477e-14 Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * 0 0 Inf 1.49011611938477e-14 -1.79448129415503e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 0 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
0 0 -Inf 0 0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 1.49011611938477e-14 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
1.0e+00 * NaN 0 NaN -1.49011611938477e-14 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff = 5×1
NaN 0 NaN 0 NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
Error using bvp4c (line 196)
Unable to solve the collocation equations -- a singular Jacobian encountered.

Error in solution>RekhaAl2O3CuSiO2TiO2Water_My14PaperCoding (line 118)
sol = bvp4c (@OdeBVP, @OdeBC, solinit);
function RekhaAl2O3CuSiO2TiO2Water_My14PaperCoding
clear
close all
format long g
%Define all Parameters
global N r s B G M K Pr Q p Nr V t a b c d A1 A2 A3 A4 A5 P1 P2 P3 P4 P5 C1 C2 C3 C4 C5
global D1 D2 D3 D4 D5 B1 B2 B3 B4 B5 B6 B7 B8 K1 K2 K3 K4 K5 K6 K7 K8 H1 H2 H3 H4 H5 H6 R1 R2 R3 R4 R5 E1 E2 E3 E4 E5
%Boundary layer thickness & stepsize
etaMin=0;
etaMax1=15;
stepsize1=etaMax1;
%Input for the Parameters
N=3; % shape factor
r=1;
s=1;
B=1;
G=1;
M=2; %Schmidt parameter
K=1; %Porosity parameter
Pr=1; %Activation Energy parameter
Q=1; %Prandtl parameter
p=0.001; %Brownian parameter
for Nr=[0.1 0.2 0.3] %Chemical reaction parameter
V=1;
t=pi/6;
a=0.05; %phi1-1st nanopaeticle concentration (MgO)
b=0.15; %phi2-2nd nanoparticle concentration (TiO2)
c=0.25; %phi2-2nd nanoparticle concentration (CoFe2O4)
d=0.05;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%1st nanopaeticle properties (Al2O3)%%%%%%%%%%%%%%%%%%%
P1=3970; %P=rho=density
C1=765; %C=specific heat
K1=40; %K=thermal conductivity
B1=36.9*10^6; %electrical condutivity
R1=0.85*(10)^(-5); % thermal exapnsion coeffcient
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%2nd nanopaeticle properties (Cu)%%%%%%%%%%%%%%%%%%%
P2=8933; %P=rho=density
C2=385; %C=specific heat
K2=400; %K=thermal conductivity
B2=5.96*(10)^7; %electrical condutivity
R2=1.67*(10)^(-5); % thermal exapnsion coeffcient
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%3rd nanoparticles (SiO2) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
P3=2200; %P=rho=density
C3=754; %C=specific heat
K3=1.4013; %K=thermal conductivity
B3=3.5*(10)^6; %electrical condutivity
R3=5.5*(10)^(-7); % thermal exapnsion coeffcient
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%% 4th nanoparticles (TiO2)%%%%%%%%%%%%%%%%%%%
P4=4250; % rho density
C4=686.2; %C=specific heat
K4=8.9538; %K=thermal conductivity
B4=2.4*(10)^6; %electrical condutivity
R4=0.90*(10)^(-5); % thermal exapnsion coeffcient
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%% Base fluid(Water)%%%%%%%%%%%%%%%%%%%
P5=997.1; %P=rho=density
C5=4179; %C=specific heat
K8=0.613; %K=thermal conductivity
B8=0.05; %electrical condutivity
R5=21*(10)^(-5); % thermal exapnsion coeffcient
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%multiplier%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
H1=((1-d)*((1-c)*(((1-a)*(1-b)*P5+a*P1)+b*P2)+c*P3)+d*P4)/P5; %(Rho)mnf/(Rho)f
H2=((((1-a)^(2.5))*((1-b)^(2.5))*((1-c)^(2.5))*((1-d)^(2.5))))^(-1); %(mu)mnf/(mu)f
D1=P1*C1; %rho*cp nanopartocale1
D2=P2*C2; %rho*cp nanopartocale2
D3=P3*C3; %rho*cp nanopartocale3
D4=P4*C4;
D5=P5*C5; %rho*cp base fluid
H3=((1-d)*((1-c)*(((1-a)*(1-b)*D5+a*D1)+b*D2)+c*D3)+d*D4)/D5; %(Rho*Cp)khnf/(Rho*Cp)bf
E1=P1*R1; %rho*cp nanopartocale1
E2=P2*R2; %rho*cp nanopartocale2
E3=P3*R3; %rho*cp nanopartocale3
E4=P4*R4;
E5=P5*R5; %rho*cp base fluid
H5=((1-d)*((1-c)*(((1-a)*(1-b)*E5+a*E1)+b*E2)+c*E3)+d*E4)/E5;
B7=(B1+(N-1)*B8-(N-1)*a*(B8-B1))*B8/(B1+(N-1)*B8+a*(B8-B1)); %(k)mnf/(k)f
B5=(B2+(N-1)*B7-(N-1)*b*(B7-B2))*B7/(B2+(N-1)*B7+b*(B7-B2)); %(k)hnf
B6=(B3+(N-1)*B5-(N-1)*c*(B5-B3))*B5/(B3+(N-1)*B5+c*(B5-B3));
H4=(B4+(N-1)*B6-(N-1)*d*(B6-B4))*B6/(B4+(N-1)*B6+d*(B6-B4))*B8;
K7=(K1+(N-1)*K8-(N-1)*a*(K8-K1))*K8/(K1+(N-1)*K8+a*(K8-K1)); %(k)mnf/(k)f
K5=(K2+(N-1)*K7-(N-1)*b*(K7-K2))*K7/(K2+(N-1)*K7+b*(K7-K2)); %(k)hnf
K6=(K3+(N-1)*K5-(N-1)*c*(K5-K3))*K5/(K3+(N-1)*K5+c*(K5-K3));
H6=(K4+(N-1)*K6-(N-1)*d*(K6-K4))*K6/(K4+(N-1)*K6+d*(K6-K4))*K8;
A1=H2/H1;
A2=H5/H1;
A3=H4/H1;
A4=H6/H3;
A5=(H3)^(-1);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%first solution%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
solinit = bvpinit (linspace(etaMin, etaMax1, stepsize1), @OdeInit1);
sol = bvp4c (@OdeBVP, @OdeBC, solinit);
eta = linspace (etaMin, etaMax1, stepsize1);
y = deval (sol, eta);
figure(1) %velocity przfile
plot(sol.x,sol.y(2,:),'linewidth',1.5)
xlabel('\eta')
ylabel('f(\eta)')
%xlim([0 10])
% ylim([0 1])
hold on
figure(2) %Velocity profile
plot(sol.x,sol.y(5,:),'linewidth',1.5)
xlabel('\eta')
ylabel('g(\eta)')
%xlim([0 10])
%ylim([0 1])
hold on
%Displaying the output for first solution
fprintf('\nFirst solution:\n');
fprintf('f''(0) = %7.9f\n',y(3)); %reduced skin friction
fprintf('-theta(0)= %7.9f\n',-y(6)); %reduced local Nusselt number
fprintf('CfxRe(1/2) = %7.9f\n',H2*y(3)); %skin friction
fprintf('NuxRe(-1/2) = %7.9f\n',(-1)*H6*y(6)); %local Nusselt number
fprintf('\n');
% fprintf('%3.2f %7.6f %7.6f\n', B,A1*((2*O*(r^2)/v)^(-1/2))*(((y(3))^2+(y(5))^2)^(1/2)), (-1)*r*((2*O/v)^(1/2))*(A4+(4/3)*Nr)*y(7), (-1)*y(9))
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Define the ODE function
function ff = OdeBVP (x, y)
ff = [y(3)
y(4)
((A1*(1+2*r*x)*y(4)+2*A1*r*y(3)+(1+s)*(y(1)*y(3)-((y(2))^2))+A1*r*B*(y(2)*y(3)-3*y(1)*y(4))+A1*B*(1+2*r*x)*((y(2))^2)+A2*G*cos(t)*y(5)-(A3*M+A1*K)*y(2)))/(A1*B*(1+2*r*x)*y(1))
y(5)
((Pr*(y(2)*y(5)-y(1)*y(5)+p*(((y(2))^2)*y(5)-y(1)*y(2)*y(5)-y(1)*y(3)*y(5)))-A2*Q*y(5)-2*A1*r*y(5))/(A4*(1+2*r*x)-Pr*p*((y(1))^2)+A5*Nr))
]
end
%Define the boundary condition
function res = OdeBC (ya, yb)
res = [ya(1)-0
ya(2)-1
ya(5)-(1-V)
yb(2)-0
yb(5)-0];
end
%Setting the initial guess for first solution
function v = OdeInit1 (~)
v = [0
0
0
0
0];
end
end

Respuestas (2)

James Blanchard
James Blanchard el 3 de Dic. de 2024 a las 11:40
I would suggest that you start by not using an initial guess of zero for all of your variables. I think this is leading to some divide by zero issues. A better initial guess will give you something to work with. You should have a general idea of what values you expect for all of your variables, so use that knowledge to select an initial guess.

Torsten
Torsten el 3 de Dic. de 2024 a las 12:46
Editada: Torsten el 3 de Dic. de 2024 a las 12:48
OdeBVP returns NaN for ff(3) at the start (see above). You will have to find out the reason (initial values for y, x, parameters used ... ?).

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