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Operator splitting scheme based on barycentric Lagrange interpolation collocation method for the Allen-Cahn equation
- Source :
- Journal of Applied Mathematics and Computing. 68:3347-3365
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- In this paper, we consider the operator splitting scheme based on barycentric Lagrange interpolation collocation method for the two-dimensional Allen-Cahn equation. The original problem is split into linear and nonlinear subproblems: the linear part is solved by barycentric Lagrange interpolation collocation method in space and Crank-Nicolson scheme in time; the nonlinear part is solved analytically due to the availability of a closed-form solution. The error estimates of the proposed scheme are studied. Numerical experiments are carried out to demonstrate the accuracy and efficiency of the two operator splitting schemes.
- Subjects :
- Applied Mathematics
Lagrange polynomial
Barycentric coordinate system
Space (mathematics)
Mathematics::Numerical Analysis
Computational Mathematics
Nonlinear system
symbols.namesake
Scheme (mathematics)
Collocation method
Theory of computation
symbols
Applied mathematics
Allen–Cahn equation
Mathematics
Subjects
Details
- ISSN :
- 18652085 and 15985865
- Volume :
- 68
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Mathematics and Computing
- Accession number :
- edsair.doi...........4ab2f2d57ecd44572d787b99af7b1b94