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FINITE DIFFERENCE APPROXIMATION FOR DIFFUSION EQUATION
Subject area: Science,Engineering and Technology · Area of research: Mechanical Engineering
Abstract
In this paper, the approximate solutions of differential equation are studied. Then, one-dimensional diffusion equation is solved by using Explicit and Crank- Nicolson methods to obtain local truncation errors. These schemes are presented using Taylor series expansion.
Keywords
Diffusion equation, Explicit method, Crank- Nicolson method, local truncation error
References
[1] Evans, L.C., "Partial Differential Equations", American Mathematical Society, Providence, New York, 1998.
[2] Griffits, D.F., "An Introduction to Matlab Version 2.2", University of Dundee, Ireland, 1996.
[3] Jungel, A., "Numerical Methods for Partial Differential Equations I": Elliptic and Parabolic Equations, (Lecture Notes), 2001.
[4] Mathews, J.H., "Numerical Methods for Mathematics", Science and Engineering, Prentice- Hall International Education, 1992.
[5] Smith, G.D., "Numerical Solution of Partial Differential Equations, Finite Difference Methods", 3 rd Ed., Clarendon Press, Oxford, 1985.
[6] Thomas, J.W., "Numerical Partial Differential Equations, Conservation Laws and Elliptic Equations", Springer-Verlag, New York, 1998.
How to cite this paper
@article{1701399,
author = {Khaing Khaing Soe Wai, San San Tint},
title = {FINITE DIFFERENCE APPROXIMATION FOR DIFFUSION EQUATION},
journal = {Iconic Research And Engineering Journals},
year = {2019},
volume = {3},
number = {1},
pages = {284-288},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1701399.pdf},
abstract = {In this paper, the approximate solutions of differential equation are studied. Then, one-dimensional diffusion equation is solved by using Explicit and Crank- Nicolson methods to obtain local truncation errors. These schemes are presented using Taylor series expansion.},
keywords = {Diffusion equation, Explicit method, Crank- Nicolson method, local truncation error},
month = {July},
}