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THE SEMI-IMPLICIT SCHEME AND ITS CONVERGENCE FOR THE PARABOLIC PROBLEM
Subject area: Science,Engineering and Technology · Area of research: Mathematics
Abstract
In this paper, we consider the parabolic initial boundary value problem. Then, we describe the bilinear form of the parabolic advection- diffusion problem. . Finally, we prove the convergence of the semi implicit scheme for the problem.
Keywords
Advection- Diffusion Equation, semi implicit scheme, convergence
References
[1] Adams, R.A., "Sobolev Spaces", Academic Press, New York, 1975.
[2] Evans, L.C., "Partial Differential Equations", American Mathematical Society, Providence, New York, 1998.
[3] Griffits, D.F., "An Introduction to Matlab Version 2.2", University of Dundee, Ireland, 1996.
[4] Jungel, A., "Numerical Methods for Partial Differential Equations I": Elliptic and Parabolic Equations, (Lecture Notes), 2001.
[5] Mathews, J.H., "Numerical Methods for Mathematics", Science and Engineering, Prentice-Hall International Education, 1992..
[6] Smith, G.D., "Numerical Solution of Partial Differential Equations, Finite Difference Methods", 3rd Ed., Clarendon Press, Oxford, 1985.
[7] Süli, E., "Finite Element Methods for Partial Differential Equations", 2002.
[8] Thomas, J.W., "Numerical Partial Differential Equations, Conservation Laws and Elliptic Equations", Springer-Verlag, New York, 1998.
How to cite this paper
@article{1701500,
author = {Khaing Khaing Soe Wai, San San Tint},
title = {THE SEMI-IMPLICIT SCHEME AND ITS CONVERGENCE FOR THE PARABOLIC PROBLEM},
journal = {Iconic Research And Engineering Journals},
year = {2019},
volume = {3},
number = {2},
pages = {220-224},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1701500.pdf},
abstract = {In this paper, we consider the parabolic initial boundary value problem. Then, we describe the bilinear form of the parabolic advection- diffusion problem. . Finally, we prove the convergence of the semi implicit scheme for the problem.},
keywords = {Advection- Diffusion Equation, semi implicit scheme, convergence},
month = {August},
}