Creator:

Klimek, Małgorzata ; Blaszczyk, Tomasz

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

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

Group publication title:

AMCS, volume 35 (2025)

Subject and Keywords:

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

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2025

Resource Type:

artykuł

DOI:

10.61822/amcs-2025-0022

Pages:

311-328

Source:

AMCS, volume 35, number 2 (2025) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego