Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations

Autor:	H. M. Ahmed
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Jacobi polynomials Fractional differential equations Riemann–Liouville fractional integral Generalized hypergeometric functions Collocation method Initial value problems Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-024-01880-0
Popis:	Abstract We provide here a novel approach for solving IVPs in ODEs and MTFDEs numerically by means of a class of MSJPs. Using the SCM, we build OMs for RIs and RLFI for MSJPs as part of our process. These architectures guarantee accurate and efficient numerical computations. We provide theoretical assurances for the efficacy of an algorithm by establishing its convergence and error analysis features. We offer five numerical examples to prove that our method is accurate and applicable. Through these examples, we demonstrate the greater accuracy and efficiency of our approach by comparing our results with previously published findings. Tables and graphs show that the method produces exact and approximate solutions that agree quite well with each other.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/158eca88df9f441e942b506ae693a7d8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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