2018•Journal of Physics Conference SeriesOpen access

Finite Volume Method with Explicit Scheme Technique for Solving Heat Equation

Fitriana Yuli Saptaningtyas, Ardila Dewi Setyarsi

Abstract

The Finite Volume Method is one of the numerical procedures that uses integrals on each volume control. It can be used to solve complex problems. This research aims to implement the Finite Volume method with explicit scheme for solving the heat equations. The research methods are modelling of heat equations, integration on each control volume, discretization using explicit scheme, solving linier algebra system, simulation, and comparing with analytical solutions. The separation variable method is used to compare the results. The results showed that the finite volume method provides a good solution with an average error of 0.0016. This showed that both solutions are similar.

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Key concepts: Finite volume method, Control volume, Discretization, Scheme (mathematics), Volume (thermodynamics), Mathematics, Applied mathematics, Variable (mathematics)