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A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations.
- Source :
-
Numerical Algorithms . Jul2023, Vol. 93 Issue 3, p993-1012. 20p. - Publication Year :
- 2023
-
Abstract
- In this paper, we construct a stable finite difference scheme for the generalized non-Fickian time-fractional reaction-diffusion equations with time delay. The proposed difference scheme has second-order accuracy in both space and time directions. The stability and convergence of the difference solutions are proved rigorously in the maximum norm. Three representative models with delay are carried out to verify the effectiveness of our method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *REACTION-diffusion equations
*FINITE differences
*DELAY differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 93
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 164151029
- Full Text :
- https://doi.org/10.1007/s11075-022-01450-4