Traveling wave solutions and numerical solutions of Gilson–Pickering equation

Results in Physics

M.S. Mehanna¹  Khalid K. Ali² 

[1] Corresponding author.;Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt;

关键词: Gilson–Pickering equation;    Soliton solution;    Local truncation error;    Stability analysis;    Numerical solutions;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this article, we introduce traveling wave solutions of the Gilson–Pickering equation using two simple methods. Furthermore, we present a numerical study of the Gilson–Pickering equation using the finite difference method. Also, the local truncation error and stability analysis for the difference scheme are presented. We justify the accuracy of the obtained results by exhibiting illustrative tables and proper graphs.

【 授权许可】

Unknown