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| An alternating group method of parallel computing for a class of nonlinear evolution equations |
| Revised:May 22, 2003 |
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| DOI：10.7511/jslx20053069 |
| KeyWord:nonlinear evolution equation,alternating group method,stability,parallel computing |
| NASHUN Bu-he~ |
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| Abstract: |
| In order to study a high effective computation method of nonlinear evolution equation, an alternating group method of four points for a class of nonlinear evolution equations is presented in this paper. Using the second class Saul'yev nonsymmetrical difference scheme, we promote the alternating group method which can be used directly on the parallel computers. It is shown that the method is unconditional stable and has the obvious property of parallelism. Numerical experiments is also presented here in order to illustrate good practicability and usefulness of the method. We also give the numerical experiments of parallel computation, which shows that the alternating group method of four points has better stability and higher accuracy than that of AGE, GEL and GER. |
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