A linear finite difference scheme for generalized time fractional Burgers equation

Dongfang Li; Chengjian Zhang; Maohua Ran

doi:10.1016/j.apm.2016.01.043

Author(s)

Dongfang Li
Chengjian Zhang
Maohua Ran

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	6069-6081
Journal / Publication	Applied Mathematical Modelling
Volume	40
Issue number	11-12
Online published	3 Feb 2016
Publication status	Published - Jun 2016

Link(s)

DOI	DOI https://doi.org/10.1016/j.apm.2016.01.043 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84965120472&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f9c45167-373b-4c31-9ba6-2127e0523623).html

Abstract

This paper is concerned with the numerical solutions of the generalized time fractional burgers equation. We propose a linear implicit finite difference scheme for solving the equation. Iterative methods become dispensable. As a result, the computational cost can be significantly reduced compare to the usual implicit finite difference schemes. Meanwhile, the finite difference method is proved to be unconditional globally stable and convergent. Numerical examples are shown to demonstrate the accuracy and stability of the method.

Research Area(s)

Convergence, Finite difference method, Generalized time fractional Burgers equation, Stability

Citation Format(s)

[ RIS ] [ BibTeX ]

A linear finite difference scheme for generalized time fractional Burgers equation. / Li, Dongfang; Zhang, Chengjian; Ran, Maohua.

In: Applied Mathematical Modelling, Vol. 40, No. 11-12, 06.2016, p. 6069-6081.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal

Li, D, Zhang, C & Ran, M 2016, 'A linear finite difference scheme for generalized time fractional Burgers equation', Applied Mathematical Modelling, vol. 40, no. 11-12, pp. 6069-6081. https://doi.org/10.1016/j.apm.2016.01.043

Li, D., Zhang, C., & Ran, M. (2016). A linear finite difference scheme for generalized time fractional Burgers equation. Applied Mathematical Modelling, 40(11-12), 6069-6081. https://doi.org/10.1016/j.apm.2016.01.043

Li D, Zhang C, Ran M. A linear finite difference scheme for generalized time fractional Burgers equation. Applied Mathematical Modelling. 2016 Jun;40(11-12):6069-6081. https://doi.org/10.1016/j.apm.2016.01.043

Li, Dongfang ; Zhang, Chengjian ; Ran, Maohua. / A linear finite difference scheme for generalized time fractional Burgers equation. In: Applied Mathematical Modelling. 2016 ; Vol. 40, No. 11-12. pp. 6069-6081.