@article{Lin:2008,
author = {Lin, JG and Xie, ZH and Yu, D and Zhou, JT},
journal = {Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics},
pages = {511--516},
title = {A three-point explicit compact difference scheme with arbitrary order of accuracy for the two dimensional pollutant diffusion equation},
volume = {25},
year = {2008}
}

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TY  - JOUR
AB  - Based on the successive iterative approach in the Taylor series expansion method, a three-point explicit compact formula with arbitrary order of accuracy for the spatial second order derivative is derived in this paper. With the transformation of the temporal derivative to spatial derivative from the original diffusion equation, a three-point explicit compact difference scheme for the diffusion equation is proposed and it can achieve arbitrary order of accuracy in both space and time. From the numerical test, it is found that the proposed compact scheme is not only simple to implement and economical to use, but also is effective to apply to many theoretical and engineering problems.
AU  - Lin,JG
AU  - Xie,ZH
AU  - Yu,D
AU  - Zhou,JT
EP  - 516
PY  - 2008///
SN  - 1007-4708
SP  - 511
TI  - A three-point explicit compact difference scheme with arbitrary order of accuracy for the two dimensional pollutant diffusion equation
T2  - Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
VL  - 25
ER  - 

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