LOD Methods for Solving Three-Dimensional Heat Equation

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: cast@kmitl.ac.th

How to Cite

Citation Format

Pinlaor, T. ., Rattanathanawan, P. ., & Yupapin, P. . (2018). LOD Methods for Solving Three-Dimensional Heat Equation. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 134-137.

References

A.D. Snider, Partial Differential Equations-Sources and Solutions, Prentice-Hall, Inc., New Jersey, 1999.
B.J. Noye and K.J. Hayman, New LOD and ADI Methods for the Two-Dimensional Diffusion Equation, J. Computer Mathematics, Vol.51, pp. 215-228, 1994.
L. Lapidus and G.F. Pinder, Numerical Solution of Partial Differential Equations in Science and Engineering, Wiley International Science, New York, 1999.
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.

Author Information

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.

About this Article

Journal

Vol. 1 No. 1 (2001)

Type of Manuscript

Original Research Article

Keywords

Mathematical Modeling

Published

30 March 2018

LOD Methods for Solving Three-Dimensional Heat Equation

Abstract

How to Cite

References

Author Information

T. Pinlaor

P.P. Rattanathanawan

P.P. Yupapin

About this Article

Journal

Type of Manuscript

Keywords

Published

Current Journal

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