Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method

Yu, Q., Liu, F., Anh, V. and Turner, I. (2008) Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method. International Journal for Numerical Methods in Engineering, 74 1: 138-158. doi:10.1002/nme.2165


Author Yu, Q.
Liu, F.
Anh, V.
Turner, I.
Title Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method
Journal name International Journal for Numerical Methods in Engineering   Check publisher's open access policy
ISSN 0029-5981
1097-0207
Publication date 2008-04-02
Sub-type Article (original research)
DOI 10.1002/nme.2165
Open Access Status
Volume 74
Issue 1
Start page 138
End page 158
Total pages 21
Place of publication Chichester, West Sussex, United Kingdom
Publisher John Wiley & Sons
Language eng
Abstract In this paper, we consider linear and non-linear space-time fractional reaction-diffusion equations (STFRDE) on a finite domain. The equations are obtained from standard reaction-diffusion equations by replacing a second-order space derivative by a fractional derivative of order β ∈ (1, 2], and a first-order time derivative by a fractional derivative of order α ∈ (0, 1]. We use the Adomian decomposition method to construct explicit solutions of the linear and non-linear STFRDE. Finally, some examples are given.
Keyword Decomposition method
Fractional reaction-diffusion equation
Linear/non-linear reaction
Space-time fractional derivative
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: Centre for Advanced Imaging Publications
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 17 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 24 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Fri, 10 Jan 2014, 18:41:02 EST by System User on behalf of Centre for Advanced Imaging