solving ODE using runge kutta method

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Luke
Luke el 31 de Mzo. de 2011
Hi,
I'm trying to solve the following eqaution using runge kutta method.
A(x)*y''+B(x)*yy'+C(x)*y'+D(x)*y+E(x)=0; where A(x),B(x),C(x),D(x) and E(x) are constants. These constants vary at each iteration. I don't know how to handle this variable coefficient case.
Boundary conditions are y(0)=0; y(l)= 2.3
Thanks

Respuestas (1)

Matt Tearle
Matt Tearle el 31 de Mzo. de 2011
There's really no difference between this and the constant coefficient case. Use the approach Jarrod provided, but just calculate A - E based on the independent variable (Jarrod used t, you're calling it x).
(Maximum pedantry: A(x) can't really be a constant if it keeps changing :) It's a coefficient.)

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