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| A three-point explicit compact difference scheme with arbitrary order of accuracy for the two dimensional pollutant diffusion equation |
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| DOI：10.7511/jslx20084098 |
| KeyWord:2-D,diffusion equation,pollutant,compact scheme,arbitrary order of accuracy,three-point stencil |
| LIN Jian-guo* XIE Zhi-hua ZHOU Jun-tao |
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| Abstract: |
| 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. |
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