The numerical methods for solving of the one-dimensional anomalous reaction-diffusion equation

• Autorzy: Błasik Marek

Identyfikatory

DOI

10.15632/jtam-pl/185888

• Języki publikacji: EN

Abstrakty

EN

This paper presents numerical methods for solving the one-dimensional fractional reaction -diffusion equation with the fractional Caputo derivative. The proposed methods are based on transformation of the fractional differential equation to an equivalent form of a integro -differential equation. The paper proposes an improvement of the existing implicit method, and a new explicit method. Stability and convergence tests of the methods were also conducted.

Słowa kluczowe

EN

fractional derivatives and integrals; integro-differential equations; numerical methods; anomalous diffusion

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2024
• Tom: Vol. 62 nr 2
• Strony: 365--376
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Błasik Marek

• Silesian University of Technology, Department of Mathematics Applications and Methods for Artificial Intelligence, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).