LOD Methods for Solving Three-Dimensional Heat Equation

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Published: Mar 30, 2018
Keywords:
Mathematical Modeling

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T. Pinlaor
Department of Mathematics and Computer Science, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand.
P.P. Rattanathanawan
Department of Mathematics and Computer Science, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand.
P.P. Yupapin
Department of Applied Physics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand.

Abstract

This research applied new splitting LOD (Locally One-Dimensional) method for solving three-dimensional time-dependent heat equation. In this work we will find an analytic solution of this equation and compare with numerical solutions.


 Keywords:  Mathematical Modeling


Corresponding author: E-mail: [email protected]


 

Article Details

Issue
Vol. 1 No. 1 (2001)
Section
Original Research Articles

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References

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[4] R.F. warming and B.J. Hyett, The Modified Equation Approach to the Stability and Accuracy Analysis of Finite-Difference Methods, J. Computational Physics, Vol.14, pp. 159-179, 1974.