An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals

Autor:	Yalçın Öztürk, Mustafa Gülsu
Přispěvatelé:	MÜ, Ula Ali Koçman Meslek Yüksekokulu, Finans-Bankacılık ve Sigortacılık Bölümü, Öztürk, Yalçın, Gülsu, Mustafa
Rok vydání:	2021
Předmět:	Chebyshev polynomials Operational matrix method Differential equation 010102 general mathematics Piecewise Fredholm– Volterra equations 01 natural sciences Chebyshev filter 010101 applied mathematics Algebraic equation Operational matrix Piecewise Applied mathematics 0101 mathematics Mathematics
Zdroj:	Mathematical Sciences. 15:189-197
ISSN:	2251-7456 2008-1359
DOI:	10.1007/s40096-021-00401-9
Popis:	In recent times, operational matrix methods become overmuch popular. Actually, we have many more operational matrix methods. In this study, a new remodeled method is offered to solve linear Fredholm-Volterra integro-differential equations (FVIDEs) with piecewise intervals using Chebyshev operational matrix method. Using the properties of the Chebyshev polynomials, the Chebyshev operational matrix method is used to reduce FVIDEs into a linear algebraic equations. Some numerical examples are solved to show the accuracy and validity of the proposed method. Moreover, the numerical results are compared with some numerical algorithm.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a2570d27ad44c8cd88dc60f554bffef https://doi.org/10.1007/s40096-021-00401-9 Zobrazit plný text záznamu Full text from SpringerLink