Study Of Nonlinear Ordinary Differential- Partial Differential Equations By Fourier Decomposition Method

Abstract

In this study, the Fourier Decomposition Method (FDM) is implemented to solve two important nonlinear differential equations, namely the Benney-Luke equation and the Emden-Fowler equation. The solution obtained by FDM is compared with exact solution. The results demonstrated the effectiveness of FDM in providing accurate solutions for both equations.