Abstract
AbstractA One-dimensional (1D) steady-state heat conduction equation with and without source term is presented in this paper. The temperature distribution in a body is determined by the model of the heat equation based on some physical assumptions. The heat equation is solved by finite volume method (FVM). By using the Matlab software, a numerical simulation of the raised examples was investigated. The results of the heat equation with and without source term are well compared and it is found that the temperature distribution of 1D steady-state heat equation with source term is parabolic whereas the temperature distribution without source term is linear. The results concluded that the numerical solutions perfectly matched the exact solutions as expected.KeywordsHeat equationHeat conduction equationSource termFinite volume method (FVM)Partial differential equation (PDE)One-dimensional (1D)
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