An Accurate Solution of the Poisson Equation by the Finite Difference-Chebyshev Tau Method
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摘要: 提出了一种求解二维Poisson方程的新方法——有限差分-ChebyshevTau方法,并给出了一些有关的数值结果.结果表明,这一方法是令人满意的,且与其它方法相容.
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关键词:
- Poisson方程 /
- Chebyshev多项式 /
- Tau方法 /
- 有限差分法
Abstract: A new finite difference-Chebyshev Tau method for the solution of the two-dimensional Poisson equation is presented.Some of the numerical results are also presented which indicate that the method is satisfactory and compatible to other methods.-
Key words:
- Poisson equation /
- Chebyshev polynomials /
- Tau-method /
- finite difference method
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[1] Haidvogel D B,Zang T.J Comput Physics,1979,30:167-180. [2] Dang-Vu H,Delcarte C.An accurate solution of the Poisson equation by Chebyshev collocation methods[J].Journal of Computational Physics,1993,104:211-220. [3] Siyyam H I,Syam M I.An accurate solution of the Poisson equation by the Chebyshev-Tau method[J].Journal of Computational and Applied Mathematics,1997,85:1-10. [4] Schwarz H R.Numerical Analysis[M].New York:John Wiley and Sons,1989. [5] Canuto C,Hussaini M Y,Quarteroni A,et al.Spectral Methods in Fluid Dynamics[M].Berlin:Springer,1977.
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