Special functions for solving nonlinear differential equations
- Ji-huan He
![](https://d197for5662m48.cloudfront.net/assets/icons/omniauth/orcid-ca37582cd91a671ed5cec57770e0e96c01b4b79b8b5b75d8598fc1ddac18c974.svg)
Abstract
This paper shows the special functions are a mathematical tool to
solving nonlinear equations. The gamma function is used as an example to
show the one-step solution process for a special nonlinear oscillator.
Comparison with the exact solution and the approximate solution obtained
by the homotopy perturbation method reveals the gamma function method is
extremely simple and remarkably accurate.