# MULTIGRID METHOD FOR SOLVING THE GENERALIZED EQUAL WIDTH WAVE EQUATION

@article{Essa2017MULTIGRIDMF, title={MULTIGRID METHOD FOR SOLVING THE GENERALIZED EQUAL WIDTH WAVE EQUATION}, author={Yasser Mohamed Abo Essa}, journal={International Journal of Mathematical Archive}, year={2017}, volume={8} }

N umerical solution of the generalized equal width (GEW) equation is obtained by using the multigrid method based on finite difference method. The motion of a single solitary wave, interaction of two solitary waves and the Maxwellian initial condition pulse are studied using the proposed method. The numerical solutions are compared with the known analytical solutions. Using error norms and conservative properties of mass, momentum and energy, accuracy and efficiency of the mentioned method…

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## 2 Citations

A Fully Implicit Finite Difference Approach for Numerical Solution of the Generalized Equal Width (GEW) Equation

- MathematicsProceedings of the National Academy of Sciences, India Section A: Physical Sciences
- 2019

In this paper, a fully implicit finite difference method is presented to solve the generalized equal width equation. This implicit method allows to handle any values of p . Since the equation is…

Lie symmetries of Generalized Equal Width wave equations

- MathematicsAIMS Mathematics
- 2021

Lie symmetry analysis of differential equations proves to be a powerful tool to solve or atleast to reduce the order and non-linearity of the equation. The present article focuses on the solution of…

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