Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type
نویسندگان
چکیده
Numerical approximations to the solution of a linear singularly perturbed parabolic problem are generated using a backward Euler method in time and an upwinded finite difference operator in space on a piecewise-uniform Shishkin mesh for a convectiondiffusion problem. A proof is given to show first order convergence of these numerical approximations in appropriately weighted C-norm. Numerical results are given to support the theoretical error bounds. The analysis is also applied to singularly perturbed problems of reaction-diffusion type. AMS Classification: 65M15,65M12, 65M06
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ورودعنوان ژورنال:
- Math. Comput.
دوره 85 شماره
صفحات -
تاریخ انتشار 2016