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

Yıl 2019, , 414 - 427, 13.11.2019

Tesfaye Aga , Gemechis File , Guy Degla

https://doi.org/10.24107/ijeas.567374

Cited By: 3

Öz

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

Anahtar Kelimeler

Fitted operator, singular perturbation, parabolic problems

Destekleyen Kurum

no

Proje Numarası

no

Teşekkür

Thanks IJEAS Journal

Kaynakça

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