Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term.
Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we approximate Riemann-Liouville derivative by a second-order difference scheme.
Secondly, for second-order derivative in space dimension, we construct a fourth-order difference scheme in terms of the hyperbolic-trigonometric spline function.
The stability analysis of the derived numerical methods is given by means of the fractional Fourier method.
Finally, an illustrative example is presented to show that the numerical results are in good agreement with the theoretical analysis.
American Psychological Association (APA)
Ding, Hengfei& Li, Changpin. 2013. Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-476049
Modern Language Association (MLA)
Ding, Hengfei& Li, Changpin. Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-476049
American Medical Association (AMA)
Ding, Hengfei& Li, Changpin. Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-476049
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476049