solving ODE using runge kutta method

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Luke 2011-3-31

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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

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Answer 1

Matt Tearle 2011-3-31

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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.)