Category: Uncategorized

Blog Entry Tuesday March 29, 2022

This application’s code was translated from vanilla C to C#. The C code is from the treatise “A Numerical Library for Scientists and Engineers” by H. T. Lau “Chapter 5: Analytic Problems – Runge-Kutta 5th order no derivatives in the right hand side”. The first test case is from the preceding tome.

RK2 Test Case
Micheal Penn’s Nonlinear ODE Data Table

I found an interesting differential second order nonlinear initial value equation on Michael Penn’s voluminous YouTube website: Michael Penn – YouTube. The equation is y”(x) = -exp(y). The solution is illustrated in the following table and graph:

Micheal Penn’s Nonlinear ODE Graph