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

Tesfaye AGA; Gemechis FİLE; Guy DEGLA

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

Makale detayları

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

Yazarlar:

Tesfaye AGA | Gemechis FİLE | Guy DEGLA

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2019 Vol.11 Issue 3, pp.414-427

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000459083

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

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

Özet:

 

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.

Makale detayları

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

Yazarlar: Tesfaye AGA | Gemechis FİLE | Guy DEGLA

Yayıncı: Akdeniz University

Ana Başlıklar: Uygulamalı fizik

Dergi: International Journal of Engineering and Applied Sciences 2019 Vol.11 Issue 3, pp.414-427

Belge Tipi: Makale

Yayın Tarihi: 11/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000459083

Sıklık: Üç Aylık

eISSN: 1309-0267

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

Sayı

Yazarlar:

Tesfaye AGA | Gemechis FİLE | Guy DEGLA

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2019 Vol.11 Issue 3, pp.414-427

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000459083

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

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