A Reliable Combination of Double Laplace Transform and Homotopy Analysis Method for Solving a Singular Nonlocal Problem with Bessel Operator

Autor:	Said Mesloub, Hassan Eltayeb Gadain, Imed Bachar
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	homotopy analysis method Laplace transform auxiliary parameter numerical scheme initial-boundary value problem Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 10, p 933 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12100933
Popis:	In this article, we present a numerical iterative scheme for solving a non-local singular initial-boundary value problem by combining two well known efficient methods. Namely, the homotopy analysis method and the double Laplace transform method. The resulting scheme is tested on a set of test examples to illustrate its efficiency, it generates the exact analytical solution for each one of these examples. The convergence of the resulting numerical solutions of these examples is tested both graphically and numerically.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/891a39d314e44632ae39ff07e06b212c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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