Implementation of Finite Volume Method (FVM) in 1-D Diffusion Equation

Authors

  • Suryakanta Behera Department of Mathematics, Ravenshaw University, Cuttack, Odisha 753003, India
  • Dwiti Krushna Behera Department of Mathematics, Ravenshaw University, Cuttack, Odisha 753003, India

DOI:

https://doi.org/10.48165/

Keywords:

Finite Volume Method, Node, Discretized Method, Temprature

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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Published

2022-06-15

How to Cite

Behera, S., & Behera, D.K. (2022). Implementation of Finite Volume Method (FVM) in 1-D Diffusion Equation . Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 41(1), 53–60. https://doi.org/10.48165/