On Reduce Differential Transformation Method for Solving Damped Kawahara Equation

Author:

Aljahdaly Noufe H.1ORCID,Alharbi Maram A.1ORCID

Affiliation:

1. Mathematics Department, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh, Saudi Arabia

Abstract

The damped Kawahara equation (KE) is nonintegrable equation and does not have analytical integration. In this work, the powerful numerical method, which is the reduce differential transformation method (RDTM), is devoted to solve the damped KE. The accuracy of the method is proved. The results are compared with the different numerical methods. The numerical solution is axi-symmetric wave and shows the effect of damping term successfully. We confirmed that the RDTM is useful for solving nonintegrable equations.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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