Open AccessApproximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method
Author(s) -
Aatif Ali,
Laiq Zada,
Rashid Nawaz
Publication year - 2022
Publication title -
international journal of emerging multidisciplinaries. mathematics
Language(s) - English
Resource type - Journals
eISSN - 2790-3257
pISSN - 2790-1998
DOI - 10.54938/ijemdm.2022.01.1.2
Subject(s) - homotopy perturbation method , mathematics , nonlinear system , homotopy analysis method , partial differential equation , function (biology) , homotopy , mathematical analysis , physics , pure mathematics , biology , quantum mechanics , evolutionary biology
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.