In this paper, we study the numerical solution of singularly perturbed parabolic convection-diffusion type
with boundary layers at the right side. To solve this problem, the backward-Euler with Richardson
extrapolation method is applied on the time direction and the fitted operator finite difference method on the
spatial direction is used, on the uniform grids. The stability and consistency of the method were established
very well to guarantee the convergence of the method. Numerical experimentation is carried out on model
examples, and the results are presented both in tables and graphs. Further, the present method gives a more
accurate solution than some existing methods reported in the literature.
%0 Journal Article
%1 noauthororeditor
%A Bullo, Tesfaye Aga
%A Duressa, Gemechis File
%D 2021
%J Informatics Engineering,an International Journal (IEIJ)
%K Richardson Singularly boundary convection-diffusion extrapolation fitted layer operator perturbation
%N 01
%P 01-14
%R 10.5121/ieij.2021.5101
%T FITTED OPERATOR FINITE DIFFERENCE METHOD
FOR SINGULARLY PERTURBED PARABOLIC
CONVECTION-DIFFUSION TYPE
%U https://aircconline.com/ieij/V5N1/5121ieij01.pdf
%V 5
%X In this paper, we study the numerical solution of singularly perturbed parabolic convection-diffusion type
with boundary layers at the right side. To solve this problem, the backward-Euler with Richardson
extrapolation method is applied on the time direction and the fitted operator finite difference method on the
spatial direction is used, on the uniform grids. The stability and consistency of the method were established
very well to guarantee the convergence of the method. Numerical experimentation is carried out on model
examples, and the results are presented both in tables and graphs. Further, the present method gives a more
accurate solution than some existing methods reported in the literature.
@article{noauthororeditor,
abstract = {In this paper, we study the numerical solution of singularly perturbed parabolic convection-diffusion type
with boundary layers at the right side. To solve this problem, the backward-Euler with Richardson
extrapolation method is applied on the time direction and the fitted operator finite difference method on the
spatial direction is used, on the uniform grids. The stability and consistency of the method were established
very well to guarantee the convergence of the method. Numerical experimentation is carried out on model
examples, and the results are presented both in tables and graphs. Further, the present method gives a more
accurate solution than some existing methods reported in the literature.
},
added-at = {2022-03-10T12:57:55.000+0100},
author = {Bullo, Tesfaye Aga and Duressa, Gemechis File},
biburl = {https://www.bibsonomy.org/bibtex/23bdbcd201fbeaa44d7183d5e08f70ff2/ieij1},
doi = {10.5121/ieij.2021.5101},
interhash = {06605e0e3185b2cfaa96dd03d7a5b971},
intrahash = {3bdbcd201fbeaa44d7183d5e08f70ff2},
issn = {2349 - 2198},
journal = {Informatics Engineering,an International Journal (IEIJ)},
keywords = {Richardson Singularly boundary convection-diffusion extrapolation fitted layer operator perturbation},
language = {English},
month = mar,
number = 01,
pages = {01-14},
timestamp = {2022-03-10T12:57:55.000+0100},
title = {FITTED OPERATOR FINITE DIFFERENCE METHOD
FOR SINGULARLY PERTURBED PARABOLIC
CONVECTION-DIFFUSION TYPE},
url = {https://aircconline.com/ieij/V5N1/5121ieij01.pdf},
volume = 5,
year = 2021
}