Work

Comparative Analysis of Modified Admoian Decomposition Method and Homotopy Perturbation Mohand Transform Method for Solving Burger’s Equations

Year: 2024

Type: article

Abstract: This article examines the analytical solution for Burger’s equations utilizing MADM and AHPMTM. We compare both analytical methods for convergence. The MADM uses a novel integral transform (the Mohand transform) with the Adomian decomposition method. The MADM solves the proposed problem using series form solutions that quickly converge to the exact solu-tions. The homotopy process with Mohand transformed and accelerated He’s polynomials underlie the novel AHPMTM approach to accelerate the convergence of the homotopy perturbation Mohand transform method (HPMTM). We compare solutions for MADM and AHPMTM to an exact solution. The methodology can be applied to different models in applied sciences and technology.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v17i4.5363

Authors: Mohamed Adel, M. Khader, T. A. Assiri

Institutions: Islamic University of Madinah, Imam Mohammad ibn Saud Islamic University, Umm al-Qura University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Islamic University of Madinah

OpenAlex ID: W4405145612

FWCI: 0.355

Cites:

Cited by: 1

Related to: 10