A Modified Finite Volume Approximation of 2-Dimensional Diffusion Equation With Discontinuous Coefficients

XU Xiao-lei; FENG Xiu-fang

doi:10.3879/j.issn.1000-0887.2014.02.003

Volume 35 Issue 2

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XU Xiao-lei, FENG Xiu-fang. A Modified Finite Volume Approximation of 2-Dimensional Diffusion Equation With Discontinuous Coefficients[J]. Applied Mathematics and Mechanics, 2014, 35(2): 130-147. doi: 10.3879/j.issn.1000-0887.2014.02.003

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A Modified Finite Volume Approximation of 2-Dimensional Diffusion Equation With Discontinuous Coefficients

doi: 10.3879/j.issn.1000-0887.2014.02.003

School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, P.R.China

Funds: The National Natural Science Foundation of China(11161036); The Key Project of Chinese Ministry of Education(209134)

Received Date: 2013-08-16
Rev Recd Date: 2013-10-31
Publish Date: 2014-02-15

Abstract

Abstract

A new modified finite volume method was presented to solve the 2-dimensional diffusion equation. Through improvement of the methods for solving the flux function and harmonic average coefficient, a new difference scheme was obtained for the diffusion equation with discontinuous coefficients. This scheme was an implicit difference scheme and was unconditionally stable. Subsequent numerical tests show that the presented method is more accurate than the classical finite volume method.
- diffusion equation with discontinuous coefficient,
- finite volume method,
- interface problem

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References

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