Numerical Study of a Steady State Two Dimensions Heat equation using TDMA Technique

Arti Kaushik¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.1 , pp.6-11, Feb-2017

Online published on Feb 06, 2017

Copyright © Arti Kaushik . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, a steady 2-D heat equation was solved numerically using TDMA technique. A steady state two dimensional heat flow is governed by Laplace Equation. Using TDMA technique numerical solution for Laplace equation (heat equation) with constant thermal conductivity has been obtained. Finite volume method is used to obtain system of linear algebraic equations for TDMA technique. The numerical solution obtained is compared with the solution obtained by using Gauss Seidal method. The significant finding of this study is to establish TDMA technique is very efficient for two dimensional problems. A very good agreement between TDMA and Gauss Seidal solutions has also been observed.

Key-Words / Index Term :
Finite volume method, Heat equation, Laplace equation, Steady state, TDMA technique.

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