Lie group and RK4 for solving nonlinear first order ODEs
About this article
Abstract
This paper deals with a numerical comparison between Lie group method and RK4 for solving an nonlinear ordinary differential equation. The Lie group method will be introduced as a analytical method and then compared to RK4 as a numerical method. Some examples will be considered and the global error we be computed numerically.
Keywords
- Lie group
- Symmetry group
- Rung-Kutta method
- Numerical solution.
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