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Euler's Method


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#1 asa.hoshi

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Posted 26 September 2007 - 04:36 PM

I was wondering where I can download a program which can calculate "numerical solutions by Euler's method."
To those who don't know what Euler's method is: approimate solutions to ordinary first order differential equations equation with initial conditions.

Thanks.

Asa.Hoshi


#2 PAP

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Posted 28 September 2007 - 08:15 AM

I was wondering where I can download a program which can calculate "numerical solutions by Euler's method."
To those who don't know what Euler's method is: [i]approimate solutions to ordinary first order differential equations equation with initial conditions.

Hmmm, are you sure you want to solve an initial-value problem with Euler's method? It's the less accurate method for this purpose, and it is considered as an introductory algorithm, which is never used in practice. Even modified Euler's method, which is certainly more accurate, is not used.
If you want, have a look at my LNA package, which contains a way more accurate function for solving initial value problems, based on the adaptive Runge-Kutta algorithm (it can also solve systems of differential equations, and it is not restricted to first-order differential equations). Furthermore, in LNA you will find a function for solving boundary-value problems with any type of boundary conditions. For all that, you need to write a (small) program in CPLua, but I don't think this is a problem really, given that CPBasic is completely inadequate.




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