Application of Double Aboodh-Shehu Decomposition Method to Solve Linear and Nonlinear System of Partial Differential Equations

Year 2024, Volume: 16 Issue: 1, 217 - 228, 30.06.2024

Alı Al-aatı Wedad Al-sharaı

https://doi.org/10.47000/tjmcs.1372574

Abstract

In this work, we develop a new method to obtain approximate solutions of linear and nonlinear coupled partial differential equations with the help of Double Aboodh-Shehu decomposition method (DASDM). The nonlinear term can easily be handled with the help of Adomian polynomials. The results of the present technique have closed agreement with approximate solutions obtained with the help of Adomian decomposition method (ADM).

Keywords

Double Aboodh-Shehu decomposition method, Adomian decomposition method, linear and nonlinear partial differential equations.

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