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  1. Meiktila University
  1. Meiktila University
  2. Department of Mathematics

Applicationof Heat Equationby Finite Difference Methods

http://hdl.handle.net/20.500.12678/0000007803
http://hdl.handle.net/20.500.12678/0000007803
b94f2cda-fed6-4056-a084-fb1055a4ac6e
c293ac42-1487-48c4-b25f-c8f227e1d0a2
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Saw Saw Aung Kyaw.pdf (28.7 MB)
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Publication type
Journal article
Upload type
Publication
Title
Title Applicationof Heat Equationby Finite Difference Methods
Language en
Publication date 2020-08-31
Authors
Saw AungKyaw
MyintMyint Hlaing
Kyaw Thu Aung
Description
In this paper, the forward-difference formula, the backward-difference formula and the central-difference formula are studied. Firstly, the explicit formula of one finite-difference approximation to heat equation is derived. Then we calculate the numerical solutions of heat equation by using Matlab programming. We also discuss the Crank-Nicolson implicit formula. Finally, the solution of the second-order parabolic equation with initial-boundary conditions is derived by using Crank-Nicolson implicit method.
Keywords
finite-difference, explicit, implicit
Journal articles
I
Meiktila University Research Journal, 2020, Vol.XI, No.1
292-297
XI
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