Approximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method

Authors

Aatif Ali, Abdul Wali Khan University MardanFollow
Laiq Zada, Abdul Wali Khan University MardanFollow
Rashid Nawaz, Abdul Wali Khan University MardanFollow

Corresponding Author

Aatif Ali

Authors ORCID

https://orcid.org/0000-0003-0792-337X

Document Type

Research Article

Subject Areas

Numerical Analysis and Differential Equations

Keywords

Optimal Axillary Function Method (OAFM), Modified b-Equation

Abstract

In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation. The first-order numerical solution obtained by OAFM has been compared with the variational homotopy perturbation method (VHPM). The method possesses the auxiliary function and control parameters which can be easily handled during simulation of the nonlinear problem. From the numerical and graphical results, we concluded the method is very effective and easy to implement for the nonlinear PDEs.

How to Cite This Article

Ali, Aatif; Zada, Laiq; and Nawaz, Rashid (2022) "Approximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 1: Iss. 1, Article 1.
DOI: https://doi.org/10.54938/ijemdm.2022.01.1.2

Receive Date

2021-12-27 10:52:33

Publication Date

1-14-2022