Work

Semianalytical Approach for the Approximate Solution of Delay Differential Equations

Year: 2022

Type: article

Abstract: In this analysis, we develop a new approach to investigate the semianalytical solution of the delay differential equations. Mohand transform coupled with the homotopy perturbation method is called Mohand homotopy perturbation transform method (MHPTM) and performs the solution results in the form of series. The beauty of this approach is that it does not need to compute the values of the Lagrange multiplier as in the variational iteration method, and also, there is no need to implement the convolution theorem as in the Laplace transform. The main purpose of this scheme is to reduce the less computational work and the error analysis of the problems than others studied in the literature. Some illustrated examples are interpreted to confirm the accuracy of the newly developed scheme.

Source: Complexity

DOI: 10.1155/2022/1049561

Authors: Xiankang Luo, Mustafa Habib, Shazia Karim, Hanan A. Wahash

Institutions: Yibin University, University of Engineering and Technology Lahore, Albaydha University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,760

Funder: Yibin University