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A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation.
- Source :
-
Applied Numerical Mathematics . Jan2024, Vol. 195, p126-141. 16p. - Publication Year :
- 2024
-
Abstract
- A high-order accuracy finite difference scheme is investigated to solve the one-dimensional extended Fisher-Kolmogorov (EFK) equation. A three level linearized compact finite difference scheme is proposed. Priori estimates and unique solvability are discussed in detail by the discrete energy method. The unconditional stability and convergence of the difference solution are proved. The new compact difference scheme has second-order accuracy in time and fourth-order accuracy in space in maximum norm. Numerical experiments demonstrate the accuracy, efficiency of our proposed technique. [ABSTRACT FROM AUTHOR]
- Subjects :
- *REACTION-diffusion equations
*FINITE differences
*DIFFERENCE equations
Subjects
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 195
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 173277977
- Full Text :
- https://doi.org/10.1016/j.apnum.2023.09.004