LOD Methods for Solving Three-Dimensional Heat Equation
Main Article Content
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
Article Details
Copyright Transfer Statement
The copyright of this article is transferred to Current Applied Science and Technology journal with effect if and when the article is accepted for publication. The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, electronic form (offline, online) or any other reproductions of similar nature.
The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors.
Here is the link for download: Copyright transfer form.pdf
References
[2] 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.
[3] L. Lapidus and G.F. Pinder, Numerical Solution of Partial Differential Equations in Science and Engineering, Wiley International Science, New York, 1999.
[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.