| Abstract: |
| In this talk, we discuss singularly perturbed two-parameter 1D parabolic problem of the reaction-convection-diffusion type. These problems exhibit discontinuities in the source term and convection coefficient at particular domain points, which results in the interior layers. Presence of perturbation parameters give rise to the boundary layers too. To resolve these layers a hybrid monotone difference scheme is used on a piece-wise uniform Shishkin mesh in the spatial direction and Crank-Nicolson scheme is used on a uniform mesh in the temporal direction. The resulting scheme is proven to be almost second order convergent in spatial direction and order two in temporal direction. Numerical experiments corroborate the theoretical claims made. |
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