RekhaAl2O3CuSiO2TiO2Water_My14PaperCoding()
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<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
1.49011611938477e-14
Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
0
Inf
1.49011611938477e-14
-2.73633440296135e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
1.49011611938477e-14
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
0
NaN
-1.49011611938477e-14
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
-1.49011611938477e-14
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
1.49011611938477e-14
Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
0
Inf
1.49011611938477e-14
-2.47638306282591e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
1.49011611938477e-14
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
0
NaN
-1.49011611938477e-14
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
-1.49011611938477e-14
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
1.49011611938477e-14
Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
0
Inf
1.49011611938477e-14
-2.26153736683265e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
1.49011611938477e-14
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
0
NaN
-1.49011611938477e-14
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
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-Inf
0
0
<mw-icon class=""></mw-icon>
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ff =
1.0e+00 *
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0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
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1.49011611938477e-14
Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
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0
Inf
1.49011611938477e-14
-2.08099471768041e-15
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
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<mw-icon class=""></mw-icon>
ff =
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0
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0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
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ff =
NaN
0
NaN
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NaN
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ff =
NaN
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NaN
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NaN
<mw-icon class=""></mw-icon>
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ff =
1.0e+00 *
NaN
1.49011611938477e-14
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
0
NaN
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NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
-Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
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0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
1.49011611938477e-14
Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
0
0
Inf
1.49011611938477e-14
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<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
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ff =
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0
<mw-icon class=""></mw-icon>
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ff =
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0
NaN
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NaN
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ff =
NaN
0
NaN
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NaN
<mw-icon class=""></mw-icon>
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ff =
NaN
0
NaN
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NaN
<mw-icon class=""></mw-icon>
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ff =
1.0e+00 *
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1.49011611938477e-14
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
NaN
0
NaN
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NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
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NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
NaN
0
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
0
0
0
0
0
<mw-icon class=""></mw-icon>
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ff =
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0
0
<mw-icon class=""></mw-icon>
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ff =
1.0e+00 *
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0
0
<mw-icon class=""></mw-icon>
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ff =
1.0e+00 *
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1.49011611938477e-14
Inf
0
0
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
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Inf
1.49011611938477e-14
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<mw-icon class=""></mw-icon>
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ff =
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ff =
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ff =
NaN
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NaN
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ff =
NaN
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NaN
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NaN
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ff =
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NaN
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NaN
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ff =
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1.49011611938477e-14
NaN
0
NaN
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
ff =
1.0e+00 *
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0
NaN
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NaN
<mw-icon class=""></mw-icon>
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ff =
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NaN
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NaN
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ff =
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NaN
0
NaN
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NaN
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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
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
H1=((1-d)*((1-c)*(((1-a)*(1-b)*P5+a*P1)+b*P2)+c*P3)+d*P4)/P5;
H2=((((1-a)^(2.5))*((1-b)^(2.5))*((1-c)^(2.5))*((1-d)^(2.5))))^(-1);
H3=((1-d)*((1-c)*(((1-a)*(1-b)*D5+a*D1)+b*D2)+c*D3)+d*D4)/D5;
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));
B5=(B2+(N-1)*B7-(N-1)*b*(B7-B2))*B7/(B2+(N-1)*B7+b*(B7-B2));
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));
K5=(K2+(N-1)*K7-(N-1)*b*(K7-K2))*K7/(K2+(N-1)*K7+b*(K7-K2));
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;
solinit = bvpinit (linspace(etaMin, etaMax1, stepsize1), @OdeInit1);
sol = bvp4c (@OdeBVP, @OdeBC, solinit);
eta = linspace (etaMin, etaMax1, stepsize1);
plot(sol.x,sol.y(2,:),'linewidth',1.5)
plot(sol.x,sol.y(5,:),'linewidth',1.5)
fprintf('\nFirst solution:\n');
fprintf('f''(0) = %7.9f\n',y(3));
fprintf('-theta(0)= %7.9f\n',-y(6));
fprintf('CfxRe(1/2) = %7.9f\n',H2*y(3));
fprintf('NuxRe(-1/2) = %7.9f\n',(-1)*H6*y(6));
function ff = OdeBVP (x, y)
((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))
((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))
function res = OdeBC (ya, yb)
function v = OdeInit1 (~)