Semianalytical Approach for the Approximate Solution of Delay Differential Equations. (25th June 2022)

• Record Type: Journal Article
• Authors: Luo, Xiankang; Habib, Mustafa; Karim, Shazia; Wahash, Hanan A.
• Other Names: Rihan Fathalla A. Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-06-25
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/1049561
• Languages: English
• ISSNs: 1076-2787

Abstract

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.