Tenth Order Compact Finite Difference Method for Solving Singularly Perturbed 1D Reaction - Diffusion Equations

Fasika Wondimu Galu; Gemechis File DURESSA; Tesfaye Aga BULLO

doi:https://doi.org/10.24107/ijeas.255031

Makale detayları

Tenth Order Compact Finite Difference Method for Solving Singularly Perturbed 1D Reaction - Diffusion Equations

Yazarlar:

Fasika Wondimu Galu | Gemechis File DURESSA | Tesfaye Aga BULLO

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2016 Vol.8 Issue 3, pp.15-24

Belge Tipi:

Makale

Yayın Tarihi:

10/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000459390

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

https://doi.org/10.24107/ijeas.255031

Özet:

 


In this
paper, tenth order compact finite difference method have been presented for
solving singularly perturbed two-point boundary value problems of 1D
reaction-diffusion equations. The derivatives in the given differential
equation have been replaced by finite difference approximations and transformed
to tri-diagonal system which can easily be solved by Discrete Invariant
Imbedding algorithm.  The theoretical
error bounds have been established for the method. Three model examples have
been considered to check the applicability of the proposed method. The numerical results presented in tables show that the
present method approximates the exact solution very well.


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Makale detayları

Tenth Order Compact Finite Difference Method for Solving Singularly Perturbed 1D Reaction - Diffusion Equations

Yazarlar: Fasika Wondimu Galu | Gemechis File DURESSA | Tesfaye Aga BULLO

Yayıncı: Akdeniz University

Ana Başlıklar: Uygulamalı fizik

Dergi: International Journal of Engineering and Applied Sciences 2016 Vol.8 Issue 3, pp.15-24

Belge Tipi: Makale

Yayın Tarihi: 10/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000459390

Sıklık: Üç Aylık

eISSN: 1309-0267

DOI: https://doi.org/10.24107/ijeas.255031

Sayı

Yazarlar:

Fasika Wondimu Galu | Gemechis File DURESSA | Tesfaye Aga BULLO

Yayıncı:

Akdeniz University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

International Journal of Engineering and Applied Sciences 2016 Vol.8 Issue 3, pp.15-24

Belge Tipi:

Makale

Yayın Tarihi:

10/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000459390

Sıklık:

Üç Aylık

eISSN:

1309-0267

DOI:

https://doi.org/10.24107/ijeas.255031