Document Type

Journal Article

Department/Unit

Department of Mathematics

Language

English

Abstract

The growing number of applications of fractional derivatives in various fields of science and engineering indicates that there is a significant demand for better mathematical algorithms for models with real objects and processes. Currently, most algorithms are designed for 1D problems due to the memory effect in fractional derivatives. In this work, the 2D fractional subdiffusion problems are solved by an algorithm that couples an adaptive time stepping and adaptive spatial basis selection approach. The proposed algorithm is also used to simulate a subdiffusion-convection equation

Keywords

Fractional differential equations, Kansa’s method, radial basis functions, collocation, adaptive greedy algorithm, geometric time grids

Publication Date

2010

Source Publication Title

Journal of Computational Physics

Volume

229

Issue

18

Start Page

6613

End Page

6622

Publisher

Elsevier

Peer Reviewed

1

DOI

10.1016/j.jcp.2010.05.015

Link to Publisher's Edition

http://dx.doi.org/10.1016/j.jcp.2010.05.015

ISSN (print)

00219991

Share

COinS