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Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients
- Publication Year :
- 2021
- Publisher :
- arXiv, 2021.
-
Abstract
- In this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) scheme to adapt them to systems of ODEs. This leads to exact schemes in the linear case, and also improve the accuracy in the nonlinear case. In the Hamiltonian nonlinear case, it consists in adding correction terms to schemes derived by Mickens.
- Subjects :
- Ordinary Differential Equations
Nonstandard finite difference schemes
MathematicsofComputing_NUMERICALANALYSIS
FOS: Mathematics
Exact finite difference schemes
Mathematics - Numerical Analysis
Numerical Analysis (math.NA)
Matrix exponential
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....6a273e016b678c44fac4f1e7d02c2f86
- Full Text :
- https://doi.org/10.48550/arxiv.2107.05332