NUMERICAL SOLUTIONS TO INTEGRAL EQUATIONS EQUIVALENT TO DIFFERENTIAL EQUATIONS WITH FRACTIONAL TIME

被引：11

作者：

Bandrowski, Bartosz ^{[1
]}

Karczewska, Anna ^{[1
]}

Rozmej, Piotr ^{[2
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65516 Zielona Gora, Poland

[2] Univ Zielona Gora, Inst Phys, PL-65516 Zielona Gora, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2010年 / 20卷 / 02期

关键词：

fractional equations; Galerkin method; anomalous diffusion; SUPERDIFFUSION;

D O I：

10.2478/v10006-010-0019-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents an approximate method of solving the fractional (in the time variable) equation which describes the processes lying between heat and wave behavior. The approximation consists in the application of a finite subspace of an infinite basis in the time variable (Galerkin method) and discretization in space variables. In the final step, a large-scale system of linear equations with a non-symmetric matrix is solved with the use of the iterative GMRES method.

引用

页码：261 / 269

页数：9

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