- International Journal of Engineering and Applied Sciences
- Vol: 11 Issue: 3
- Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diff...
Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diffusion Problem
Authors : Tesfaye Aga, Gemechis File, Guy Degla
Pages : 414-427
Doi:10.24107/ijeas.567374
View : 6 | Download : 3
Publication Date : 2019-11-13
Article Type : Research
Abstract :In this paper, we study a fitted operator average finite difference method for solving singularly perturbed parabolic convection-diffusion problems with boundary layer at right side. After discretizing the solution domain uniformly, the differential equation is replaced by average finite difference approximation which gives system of algebraic equation at each time levels. The stability and consistency of the method established very well to guarantee the convergence of the method. Furthermore, some numerical results are given to support our theoretical results and to validate the betterment of using fitted operator methodsKeywords : Fitted operator, singular perturbation, parabolic problems