Work

Modified Homotopy Perturbation Methods for Solving Partial Differential Equations

Year: 2025

Type: article

Abstract: Homotopy perturbation method can be widely accepted for approximating or accurately solving nonlinear differential equations due to its generality and ease of use. Rational homotopy perturbation method and Rational biparameter homotopy perturbation method are two extensions of homotopy perturbation method which can improve the accuracy of the solution. In this paper, the algorithm steps of these two derived methods are introduced, meanwhile, the approximate solutions of Burgers equation and Gardner equation are obtained. Absolute errors of these two methods in solving partial differential equations are calculated and described to verify the effectiveness of the methods.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250011

Authors: Yue Liu, Jing Pang, Yajun Du, Tianle Yin

Institution: Inner Mongolia University of Technology

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G3559939257