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.
| Original language | English |
|---|---|
| Journal | Applied Numerical Mathematics |
| DOIs | |
| Publication status | Published - 1 Jan 2014 |
Keywords
- linear time dependent
- singularly perturbed
- convection-diffusion
- interior layer
- hyperbolic tangent profile
- numerical method
- monotone finite difference operator
- piecewise-uniform Shishkin mesh
- parameter uniform convergence