Exact and approximate solutions of a fractional diffusion problem with fixed space memory length

• Autorzy: Klimek Malgorzata , Blaszczyk Tomasz

Identyfikatory

DOI

10.61822/amcs-2025-0022

• Języki publikacji: EN

Abstrakty

EN

We study a fractional differential diffusion equation, where the spatial derivative is expressed by the fractional differential operator with a fixed space memory length. The exact solution of the considered problem is presented, taking into account the homogeneous Dirichlet boundary conditions. Additionally, since the solution is in the form of a trigonometric series, we also present approximate solutions in the form of the truncated series. The accuracy of the approximation is controlled by the derived bound of a approximation error.

Słowa kluczowe

EN

fractional diffusion problem; series solution; error estimation; fixed memory length

PL

dyfuzja ułamkowa; rozwiązanie szeregowe; szacowanie błędu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2025
• Tom: Vol. 35, no. 2
• Strony: 311--328
• Opis fizyczny: Bibliogr. 33 poz., rys.

Twórcy

autor

Klimek Malgorzata

• Department of Mathematics, Czestochowa University of Technology, 42-200 Czestochowa, Poland

autor

Blaszczyk Tomasz

• Department of Mathematics, Czestochowa University of Technology, 42-200 Czestochowa, 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).