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Numerical analysis of a two-parameter fractional telegraph equation
Ford, Neville J. Rodrigues, M. Manuela Xiao, Jingyu Yan, Yubin
Ford, Neville J.
Rodrigues, M. Manuela
Xiao, Jingyu
Yan, Yubin
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Publication Date
2013-09-26
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Abstract
In this paper we consider the two-parameter fractional telegraph equation of the form −CDα+1 t+ 0 u(t,x)+CDβ+1 x+ 0 u(t,x)−CDα t+ 0 u(t,x)−u(t,x)=0. Here CDα t+ 0 ,CDα+1 t+ 0 ,CDβ+1 x+ 0 are operators of the Caputo-type fractional derivative, where 0≤ α<1and0≤β<1. A numerical method is introduced to solve this fractional telegraph equation and stability conditions for the numerical method are obtained. Numerical examples are given in the final section of the paper.
Citation
Ford, N. J., Rodrigus, M. M., Xiao, J. & Yan, Y. (2013). Numerical analysis of a teo-parameter fractional telegraph equation. Journal of Computational and Applied Mathematics, 249, 95-106. https://doi.org/10.1016/j.cam.2013.02.009
Publisher
Elsevier
Journal
Journal of Computational and Applied Mathematics
Research Unit
DOI
10.1016/j.cam.2013.02.009
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PubMed Central ID
Type
Article
Language
en
Description
Series/Report no.
ISSN
0377-0427
EISSN
1879-1778