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An implicit fully discrete compact finite difference scheme for time fractional diffusion-wave equation.
- Source :
-
Electronic Research Archive . 2024, Vol. 32 Issue 1, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- In this paper, an implicit compact finite difference (CFD) scheme was constructed to get the numerical solution for time fractional diffusion-wave equation (TFDWE), in which the time fractional derivative was denoted by Caputo-Fabrizio (C-F) sense. We proved that the full discrete scheme is unconditionally stable. We also proved that the rate of convergence in time is near to O (τ 2) and the rate of convergence in space is near to O (h 4). Test problem was considered for regular domain with uniform points to validate the efficiency and accuracy of the method. The numerical results can support the theoretical claims. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 32
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178380246
- Full Text :
- https://doi.org/10.3934/era.2024017