A stable and accurate convective modelling procedure based on quadratic upstream interpolation
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
A moving collocation method for solving time dependent partial differential equations
Applied Numerical Mathematics
Numerical Methods for Problems with Moving Fronts
Numerical Methods for Problems with Moving Fronts
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
An adaptive collocation method is introduced for simulating the short time diffusion--convection-reaction problem. The method is based on dividing the solution domain into active and inactive zones in such a way that the collocation points remain concentrated in regions of solution variation. The numerical results show that the proposed method is efficient in simulating the sharp profile at short time for the convective-dominant case. The adaptive scheme performance is found compatible with the high-order finite difference method, the QUICK method in terms of the CPU time and average numerical errors.