Implementation of Finite Volume Method (FVM) in 1-D Diffusion Equation

Abstract

In this work finite volume method has been used in 1 D steady state diffusion equation in a plate. Then the step by step procedures of the central differencing scheme  for numerical solution are described. we increase the number of nodes and solve the system of our discretized algebraic linear equations.  Finally we compare  the numerical solution obtained by finite volume techniques and analytical solution. The finite volume technique adopted in this paper shows  minimum error.