Published September 1, 2018
| Version v1
Journal article
Finite Volume Method with Explicit Scheme Technique for Solving Heat Equation
Creators
- 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/10.1088/1742-6596/1097/1/012089Additional details
Identifiers
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