Numerical algorithms for the fractional diffusion-wave equation with reaction term
type: Item
instance of: scholarly article
title: Numerical algorithms for the fractional diffusion-wave equation with reaction term
zbMATH Open document ID: 1291.65261
DOI: 10.1155/2013/493406
author: Changpin Li
author: Hengfei Ding
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6306883
Wikidata QID: Q58916892
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/493406
OpenAlex ID: W1970440188
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description: scientific article; zbMATH DE number 6306883