Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644937 | Applied Numerical Mathematics | 2015 | 17 Pages |
Abstract
A linear time dependent singularly perturbed convection–diffusion problem is examined. The convective coefficient contains an interior layer (with a hyperbolic tangent profile), which in turn induces an interior layer in the solution. A numerical method consisting of a monotone finite difference operator and a piecewise-uniform Shishkin mesh is constructed and analysed. Neglecting logarithmic factors, first order parameter uniform convergence is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
E. O'Riordan, J. Quinn,