Published September 1, 2018 | Version v1
Journal article

Finite Volume Method with Explicit Scheme Technique for Solving Heat Equation

  • 1. Mathematics Education Departement, Faculty of Mathematic and Natural Sciences, Yogyakarta State University (Indonesia)
  • 2. Graduate Program of Mathematics Education Departement, Faculty of Mathematic and Natural Sciences, Yogyakarta State University (Indonesia)

Description

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. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/1097/1/012089

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
1097
Journal Issue
1
Journal Page Range
[10 p.]
ISSN
1742-6596

Conference

Title
5. International Conference on Research, Implementation, and Education of Mathematics and Sciences
Dates
7-8 May 2018
Place
Yogyakarta (Indonesia)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53023704
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRA; ANALYTICAL SOLUTION; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; ERRORS; HEAT; INTEGRALS
Descriptors DEC
ENERGY; EVALUATION; MATHEMATICAL SOLUTIONS; MATHEMATICS; SIMULATION