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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2022, Volume : 41e, Issue : 1
First page : ( 53) Last page : ( 60)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.
Article DOI : 10.5958/2320-3226.2022.00008.X

Implementation of finite volume method (FVM) in 1-d diffusion equation

Behera Suryakanta1, Behera Dwiti Krushna2,*

1Department of Mathematics, Ravenshaw University, Cuttack, Orissa753003, India E-mail: skb@ravenshawuniversity.ac.in

2Department of Mathematics, Ravenshaw University, Cuttack, Orissa753003, India E-mail: dkb_math@ravenshawuniversity.ac.in

*Corresponding Author: Dwiti Krushna Behera, Department of Mathematics, Ravenshaw University, Cuttack, Orissa753003, India E-mail: dkb_math@ravenshawuniversity.ac.in

Online published on 6 July, 2022.

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.

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Keywords

Finite Volume Method, Node, Discretized Method, Temprature.

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