A numerical scheme for time-fractional fourth-order reaction-diffusion model

• Autorzy: Koç Dilara Altan

Identyfikatory

DOI

10.17512/jamcm.2023.2.02

• Języki publikacji: EN

Abstrakty

EN

In fractional calculus, the fractional differential equation is physically and theoretically important. In this article an efficient numerical process has been developed. Numerical solutions of the time fractional fourth order reaction diffusion equation in the sense of Caputo derivative is obtained by using the implicit method, which is a finite difference method and is developed by increasing the number of iterations. The advantage of the implicit difference scheme is unconditionally stable. The stability analysis and convergency have been proven. A numerical example has been presented, and the validity of the method is supported by tables and graphics.

Słowa kluczowe

EN

implicit finite difference method; fractional calculus; diffusion equation

PL

niejawna metoda różnic skończonych; rachunek ułamkowy; równanie dyfuzji

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 2
• Strony: 15--25
• Opis fizyczny: Bibliogr. 28 poz., rys., tab.

Twórcy

autor

Koç Dilara Altan

• Department of Mathematics, Mugla Sitki Kocman University, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).