Implementation of Finite Volume Method (FVM) in 1-D Diffusion Equation
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Year : 2022,
Volume & Issue : BPAS-Maths & Stat 41E(1), JAN-JUN 2022
Page No. : 53-60,
Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2022.00008.X (Received on 18.02.2022/ Revised on 13.05.2022/ Accepted on 19.05.2022 Online First Published on June 15, 2022 at https://www.bpasjournals.com/)
Description
Description
Suryakanta Behera1, *Dwiti Krushna Behera2
Author’s Affiliation : 1Department of Mathematics, Ravenshaw University, Cuttack, Odisha 753003, India
E-mail: skb@ravenshawuniversity.ac.in, 2Department of Mathematics, Ravenshaw University, Cuttack, Odisha 753003, India
E-mail: dkb_math@ravenshawuniversity.ac.in
Corresponding Author : Dwiti Krushna Behera, Department of Mathematics, Ravenshaw University, Cuttack, Odisha 753003, India,
E-Mail:-dkb_math@ravenshawuniversity.ac.in
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.
How to cite this article: Behera S, Behera DK. (2022). Implementation of Finite Volume Method (FVM) in 1-D Diffusion Equation. Bull. Pure Appl. Sci. Sect. E Math. Stat. 41E(1), 53-60.
Keywords
Finite Volume Method, Node, Discretized Method, Temprature
