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Numerical solutions for the damped generalized regularized long-wave equation with a variable coefficient by Adomian decomposition method
Journal article   Peer reviewed

Numerical solutions for the damped generalized regularized long-wave equation with a variable coefficient by Adomian decomposition method

Talha Achouri and Khaled Omrani
Communications in nonlinear science & numerical simulation, Vol.14(5), pp.2025-2033
05/2009
DOI: https://doi.org/10.1016/j.cnsns.2008.07.011

Abstract

02.60.Lj 44.05.+e 44.10.+I Adomian decomposition method DGRLW equation Error analysis Modified decomposition method Numerical solution
Adomian’s decomposition method is proposed to approximate the solutions of the nonlinear damped generalized regularized long-wave (DGRLW) equation with a variable coefficient. The solution of the nonlinear DGRLW equation is calculated in the form of series with computable components. Numerical examples are tested to illustrate the proposed scheme. Moreover, the approximate solution is compared with the exact solution.

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