A Numerical Solution of Three-Dimensional Unsteady State Heat Equation
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_IJMAC-11-1_004
Index date: 17 January 2023
A Numerical Solution of Three-Dimensional Unsteady State Heat Equation abstract
Heat equation is a partial differential equation that describes the distribution of temperature (heat) in a given body over time. In this study, a finite volume based method is used to solve three-dimensional heat equation. A MATLAB code is developed to implement the numerical method in a unit cube. The stability of the numerical scheme is analysed using the Von Neumann method. An example is provided in order to demonstrate the method. The numerical solution by the method is in an excellent agreement with the exact solution for the example considered. The computational procedures used in this study can provide good insights to solve a three dimensional diffusion equation arising in many physical phenomena.
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A Numerical Solution of Three-Dimensional Unsteady State Heat Equation authors
Endalew Tsega
Department of Mathematics, College of Science, Bahir Dar University, Bahir Dar, Ethiopia