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| A Nine-point Algorithm Using K-modes Clustering for Two-dimensional Poisson Equations |
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Abstract This paper aims to improve the nine-point difference scheme for solving the two-dimensional Poisson equations by introducing k-modes clustering algorithm. The new method is illustrated by numerical examples. Firstly, compared with traditional nine-point difference scheme, the new method not only improves the computing speed, but also reduces the amount of storage. Secondly, compared with the five-point difference scheme based on k-modes, under the same lower conditions of accuracy subdivision, the improved nine-point difference scheme gets higher accuracy of numerical solution.
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| DOI:DOI: 10.12733/20151130 |
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