Exact and Approximate Solutions of A Fractional Diffusion Problem with Fixed Space Memory Length

被引：0

作者：

Klimek, Malgorzata ^{[1
]}

Blaszczyk, Tomasz ^{[1
]}

机构：

[1] Czestochowa Tech Univ, Dept Math, PL-42200 Czestochowa, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2025年 / 35卷 / 02期

关键词：

fractional diffusion problem; series solution; error estimation; fixed memory length; ANOMALOUS DIFFUSION; DIFFERENCE APPROXIMATIONS;

D O I：

10.61822/amcs-2025-0022

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：311 / 328

页数：18

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