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Applicationof Heat Equationby Finite Difference Methods
http://hdl.handle.net/20.500.12678/0000007803
http://hdl.handle.net/20.500.12678/0000007803b94f2cda-fed6-4056-a084-fb1055a4ac6e
c293ac42-1487-48c4-b25f-c8f227e1d0a2
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Saw Aung Kyaw.pdf (28.7 MB)
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Publication type | ||||||
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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 |