Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422348 | Journal of Computational and Applied Mathematics | 2017 | 17 Pages |
Abstract
On the base of the maximum principles two-sided estimates for solutions of difference schemes are proved without any assumption of sign-definiteness of input data. Second order unconditional monotone difference scheme for quasilinear convection-diffusion equation on uniform grids is constructed. A priori estimates of the difference solution on uniform norm C are established. The obtained results are generalized for the case of non-uniform spatial grids. Numerical experiments confirming theoretical results are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Piotr Matus, Le Minh Hieu, Lubin G. Vulkov,