Study numerical scheme of finite difference for solution partial differential equation of parabolic type to heat conduction problem

The mathematical formulation of heat conduction problem along the rod involving rates of change with respect to two independent variablels, namely time and length leads to a partial differential equation of parabolic type. The initial and boundaries conditions are known. Finite difference approximat...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-03, Vol.1821 (1), p.12032
Main Authors: Hanafi, L, Mardlijah, M, Utomo, D B, Amiruddin, A
Format: Article
Language:English
Subjects:
Conduction heating
Conductive heat transfer
Finite difference method
Implicit methods
Mathematical analysis
Numerical methods
Partial differential equations
Physics
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Summary:The mathematical formulation of heat conduction problem along the rod involving rates of change with respect to two independent variablels, namely time and length leads to a partial differential equation of parabolic type. The initial and boundaries conditions are known. Finite difference approximations are used as a numerical method approach how to solve heat conduction problem. In this paper, numerical scheme of finite difference should be applied to construct and compute the temperature within a rod by explicit method, implicit method and Crank-Nicolson method.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1821/1/012032