Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diffusion Problem

Authors : Tesfaye AGA, Gemechis FİLE, Guy DEGLA

Pages : 414-427

Doi:10.24107/ijeas.567374

View : 11 | Download : 6

Publication Date : 2019-11-13

Article Type : Research Paper

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 methods
Keywords : Fitted operator, singular perturbation, parabolic problems