Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629950 | Applied Mathematics and Computation | 2012 | 13 Pages |
Abstract
Singularly perturbed reaction-diffusion parabolic problems with non-smooth initial conditions are studied. A finite difference method is constructed on a piecewise-uniform mesh for a parabolic problem with an initial condition containing a layer. The parameter-uniform convergence of this numerical method is analyzed. This numerical method is used to generate an approximation to the solution of a singularly perturbed parabolic problem with a discontinuous initial condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.L. Gracia, E. O'Riordan,