Finite Difference Method in Regular Geometry Heat Transfer Problem
Abstract
Finite difference method (FDM) is a known numerical method for finding approximate solution to boundary value problems (BVP). It is a helpful method in approximating the solutions to differential equation. Numerical methods are very useful in solving engineering problems in many areas related to fluid dynamics, heat and mass transfer problems and other partial differential equations of mathematical physics especially when such problems cannot be solved numerically due to nonlinearities, complex geometries or complicated boundary conditions. However, the application is limited to regular geometry and simple irregular geometry problems.
##Keywords:##
Finite Difference Method; Heat Transfer; Two Dimensional; Regular Geometry
Published
Mar 30, 2019
How to Cite
NGARISAN, Noor Syazana; AB. AZIZ, Amiruddin.
Finite Difference Method in Regular Geometry Heat Transfer Problem.
Journal of Ocean, Mechanical and Aerospace -science and engineering-, [S.l.], v. 63, n. 1, p. 7-10, mar. 2019.
ISSN 2527-6085.
Available at: <https://isomase.org/Journals/index.php/jomase/article/view/98>. Date accessed: 19 aug. 2024.
doi: http://dx.doi.org/10.36842/jomase.v63i1.98.
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2. Mehta, N.C., Gondaliya, V.B., Gundaniya, J.V., “Applications of Differential Numerical Methods in Heat Transferâ€, International Journal of Emerging Technology and Advanced Engineering, Volume 3 Issue 2, 2013.
3. Abdulghafor M. Rozbayani, “Discrete Adomian Decomposition Method for Solving Burgers – Huxley Equationâ€, Int. J. Contemp. Math. Sciences, Vol. 8, no. 13, 623-631, 2013.
4. B. Dolicanin, V. B. Nikolic, D. C. Dolicanin, “Application of Finite Difference Method to study of the Phenomenon in the Theory of Thin Platesâ€, Ser. A: Appl. Math. Inform. And Mech. Vol. 2, 1, 29 – 34, 2010.
5. Reimer, A. S. and Cheviakov, A. F., “A MATLAB Based Finite Difference Solver for the Poisson Problem with Mixed Dirichlet- Neumann Boundary Conditions,†Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, 2012.
6. Amiruddin Ab. Aziz et. al, “Application of Finite Difference Method and Differential Quadrature Method in Burgers Equationâ€, J. Appl. Environ. Biol. Sci., 6(11)111-114, 2016.
7. Noor Syazana Ngarisan1 et. al, “The Application of Finite Element Method to Solve Heat Transfer Problem Involving 2D Irregular Geometryâ€, J. Appl. Environ. Biol. Sci., 6(11S)23-30, 2016.
8. Roos C, “Principles of Heat Transferâ€. Washington State University Extension Energy Program, 2008.
