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- Title
A NUMERICAL SCHEME FOR TIME-FRACTIONAL FOURTH-ORDER REACTION-DIFFUSION MODEL.
- Authors
Koç, Dilara Altan
- Abstract
In fractional calculus, the fractional differential equation is physically and theoretically important. In this article an efficient numerical process has been developed. Numerical solutions of the time fractional fourth order reaction diffusion equation in the sense of Caputo derivative is obtained by using the implicit method, which is a finite difference method and is developed by increasing the number of iterations. The advantage of the implicit difference scheme is unconditionally stable. The stability analysis and convergency have been proven. A numerical example has been presented, and the validity of the method is supported by tables and graphics.
- Subjects
FRACTIONAL differential equations; FINITE difference method; FRACTIONAL calculus; HEAT equation; RATE coefficients (Chemistry); CAHN-Hilliard-Cook equation; FINITE differences
- Publication
Journal of Applied Mathematics & Computational Mechanics, 2023, Vol 22, Issue 2, p15
- ISSN
2299-9965
- Publication type
Article
- DOI
10.17512/jamcm.2023.2.02