A numerical method for solving a class of variable-order differential equations using Hosoya Polynomial of simple paths

• Autorzy: Salati Saha , Jafari Hossein , Matinfar Mashallah

Identyfikatory

DOI

10.17512/jamcm.2024.1.08

• Języki publikacji: EN

Abstrakty

EN

In this paper, we use the operational matrices (OMs) and collocation method (CM) to obtain a numerical solution for a class of variable-order differential equations (VO-DEs). The fractional derivatives and the VO-derivatives are in the Caputo sense. The operational matrices are computed based on the Hosoya polynomials (HPs) of simple paths. Firstly, we assume the unknown function as a finite series by using the Hosoya polynomials as the basis functions. To obtain the unknown coefficients of this approximation, we computed the operational matrices of all terms of the main equations. Then, by using the operational matrix and collocation points, the governing equations are converted to a set of algebraic equations. Finally, an approximate solution is obtained by solving those algebraic equations.

Słowa kluczowe

EN

variable-order differential equations; Hosoya Polynomial; collocation method; operational matrix

PL

równania różniczkowe; Wielomian Hosoyi; metoda kolokacji; matryca operacyjna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 1
• Strony: 97--108
• Opis fizyczny: Bibliogr. 29 poz., rys.

Twórcy

autor

Salati Saha

• Department of Applied Mathematics, University of Mazandaran Babolsar, Iran

autor

Jafari Hossein

• Department of Applied Mathematics, University of Mazandaran Babolsar, Iran

autor

Matinfar Mashallah

• Department of Applied Mathematics, University of Mazandaran Babolsar, Iran

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).