Parameter Identification in the Two-Dimensional Riesz Space Fractional Diffusion Equation

被引：5
作者：
Brociek, Rafal [1 ]
Chmielowska, Agata [1 ]
Slota, Damian [1 ]
机构：
[1] Silesian Tech Univ, Dept Math Applicat & Methods Artificial Intellige, Kaszubska 23, PL-44100 Gliwice, Poland
来源：
FRACTAL AND FRACTIONAL | 2020年 / 4卷 / 03期
关键词：
fractional derivative; fractional differential equation; inverse problem; parameter identification; two-dimensional differential equation; INVERSE PROBLEM;
D O I：
10.3390/fractalfract4030039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents the application of the swarm intelligence algorithm for solving the inverse problem concerning the parameter identification. The paper examines the two-dimensional Riesz space fractional diffusion equation. Based on the values of the function (for the fixed points of the domain) which is the solution of the described differential equation, the order of the Riesz derivative and the diffusion coefficient are identified. The paper includes numerical examples illustrating the algorithm's accuracy.
引用
收藏
页码：1 / 10
页数：10
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