WIAS Preprint No. 464, (1998)
The convergence and stability of splitting finite difference schemes for nonlinear evolutionary type equations
Authors
- Ivanauskas, Feliksas
- Radziunas, Mindaugas
ORCID: 0000-0003-0306-1266
2010 Mathematics Subject Classification
- 65N06 65N12
Keywords
- evolutionary equations, finite difference scheme, splitting scheme
DOI
Abstract
A splitting finite difference scheme for an initial-boundary value problem for a two-dimensional nonlinear evolutionary type equation is considered. The problem is split into nonlinear and linear parts. The linear part is also split into locally one-dimensional equations. The convergence and stability of the scheme in L2 and C norms are proved.
Appeared in
- Lithuanian Math. Journal, 45(3), pp. 413-434, 2005.
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