Work

Approximate Solution for Non-linear Partial Differential Equations by Homotopy Perturbation-based Technique

Year: 2025

Type: article

Abstract: In this paper, we present an effective semi-analytical method for solving non-linear partial differential equations that arise in various scientific and engineering fields. The Homotopy Perturbation Method (HPM) combines the concepts of homotopy analysis and perturbation theory to obtain approximate solutions for diverse partial differential equations. Several numerical examples are presented to illustrate the accuracy and efficiency of the proposed method.

Source: JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES

DOI: 10.26782/jmcms.spl.12/2025.08.00010

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Royal Society

OpenAlex ID: W4414007898

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