| Issue |
MATEC Web Conf.
Volume 136, 2017
2017 2nd International Conference on Design, Mechanical and Material Engineering (D2ME 2017)
|
|
|---|---|---|
| Article Number | 01005 | |
| Number of page(s) | 8 | |
| Section | Chapter 1: Simulation | |
| DOI | https://doi.org/10.1051/matecconf/201713601005 | |
| Published online | 14 November 2017 | |
Modification of the Lagrange Interpolating Polynomial Scheme for Using with the Finite Difference Method
Department of Mechanical Engineering, Burapha University, Chonburi 20131, Thailand
a Corresponding author: uthai@buu.ac.th
Modification of the Lagrange interpolating polynomial (LIP) scheme for using with the finite difference method is proposed. Merits of the modified LIP scheme used with the finite difference method for problem solving are facile to discretize equations, and fast to obtain solutions. Verification of the modified LIP scheme was performed by comparison of the solutions computed from the modified LIP scheme with the analytical solutions of a heat conduction problem. The verification gives credence to the modified LIP scheme for correctness of the solutions. In addition, the comparison results of solution accuracy and computational time of problem solving between using of the finite difference method with the modified LIP scheme and the finite volume method with the LIP scheme are exhibited.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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