The Homotopy Perturbation Method to Solve Initial Value Problems of First Order with Discontinuities

Autor:	Mohammed Ahmed, Waleed Al-Hayani
Jazyk:	Arabic<br />English
Rok vydání:	2022
Předmět:	homotopy perturbation method he’s polynomials initial value problems (ivps) unit step function unit impulse function simpson rule trapezoidal rule Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 16, Iss 2, Pp 61-70 (2022)
Druh dokumentu:	article
ISSN:	1815-4816 2311-7990
DOI:	10.33899/csmj.2022.176592
Popis:	In this work, the homotopy perturbation method (HPM) is used to solve initial valueproblems of first order with various types of discontinuities. The numerical results obtained (arecompared) using the traditional HPM, and the integral equation of the nth equation with thesolution numerical obtained using Simpson and Trapezoidal Rules to demonstrate that thesolution results are extremely accurate when compared to the exact solution. The maximumabsolute error, ‖ . ‖ , maximum relative error, maximum residual error, and expectedconvergence order are also provided.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e7cbbf3b37134d40a5dc146809d8c776 Zobrazit plný text záznamu View record in DOAJ