Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1704277 | Applied Mathematical Modelling | 2014 | 10 Pages |
Abstract
This paper is devoted to application of fractional multistep method in the numerical solution of fractional diffusion-wave equation. By transforming the diffusion-wave equation into an equivalent integro-differential equation and applying Lubich’s fractional multistep method of second order we obtain a scheme of order O(τα+h2)O(τα+h2) for 1⩽α⩽1.718321⩽α⩽1.71832 where αα is the order of temporal derivative and ττ and h denote temporal and spatial stepsizes. The solvability, convergence and stability properties of the algorithm are investigated and numerical experiment is carried out to verify the feasibility of the scheme.
Related Topics
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Authors
J.Y. Yang, J.F. Huang, D.M. Liang, Y.F. Tang,