An Analytical Computational Algorithm for Solving a System of Multipantograph DDEs Using Laplace Variational Iteration Algorithm

Autor: Mohamed S. M. Bahgat, A. M. Sebaq
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Advances in Astronomy, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 1687-7969
1687-7977
DOI: 10.1155/2021/7741166
Popis: In this research, an approximation symbolic algorithm is suggested to obtain an approximate solution of multipantograph system of type delay differential equations (DDEs) using a combination of Laplace transform and variational iteration algorithm (VIA). The corresponding convergence results are acquired, and an efficient algorithm for choosing a feasible Lagrange multiplier is designed in the solving process. The application of the Laplace variational iteration algorithm (LVIA) for the problems is clarified. With graphics and tables, LVIA approximates to a high degree of accuracy with a few numbers of iterates. Also, computational results of the considered examples imply that LVIA is accurate, simple, and appropriate for solving a system of multipantograph delay differential equations (SMPDDEs).
Databáze: Directory of Open Access Journals
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