http://dx.doi.org/10.1016/j.enganabound.2014.09.003">
 

Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Method of approximate particular solutions for constant- and variable-order fractional diffusion models

Language

English

Abstract

© 2014 Elsevier Ltd. All rights reserved. The method of approximate particular solutions (MAPS) is an alternative radial basis function (RBF) meshless method, which is defined in terms of a linear combination of the particular solutions of the inhomogeneous governing equations with traditional RBFs as the source term. In this paper, we apply the MAPS to both constant- and variable-order time fractional diffusion models. In the discretization formulation, a finite difference scheme and the MAPS are used respectively to discretize time fractional derivative and spatial derivative terms. Numerical investigation examples show the present meshless scheme has highly accuracy and computationally efficiency for various fractional diffusion models.

Keywords

Collocation method, Fractional diffusion, Meshless method, Radial basis function

Publication Date

2015

Source Publication Title

Engineering Analysis with Boundary Elements

Volume

57

Start Page

37

End Page

46

Publisher

Elsevier

ISSN (print)

09557997

This document is currently not available here.

Share

COinS