Exact and numerical solutions for the GBBM equation using an adaptive moving mesh method

Faculty Science Year: 2021
Type of Publication: ZU Hosted Pages:
Authors:
Khaled Lotfy Mohamed Azab
Journal: Alexandria Engineering Journal Elsevier BV on behalf of Faculty of Engineering, Alexandria University Volume:
Keywords : Exact , numerical solutions , , GBBM equation using , adaptive    
Abstract:
The leading objective of this article is to investigate the analytical and numerical solutions of the Generalized Benjamin-Bona-Mahony (GBBM) equation. We also aim to compare the performance of the considered methods for solving this equation. The exact solution is obtained analytically while the numerical solutions are demonstrated using some techniques, namely, the adaptive moving mesh and uniform mesh methods. The exact solution is presented in a form of convergent power series. The finite differences are also applied to discretise the BBM equation. Under a suitable selection of parameters, some 2D and 3D surfaces for the obtained theoretical and numerical results are shown to compare the exact and numerical solutions.
    
     
 
       

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