Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (8): 935-939.
Hani I. Siyyam
收稿日期:
2000-01-04
出版日期:
2001-08-18
发布日期:
2001-08-18
Hani I. Siyyam
Received:
2000-01-04
Online:
2001-08-18
Published:
2001-08-18
摘要: 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.
中图分类号:
Hani I. Siyyam. AN ACCURATE SOLUTION OF THE POISSON EQUATION BY THE FINITE DIFFERENCE-CHEBYSHEV-TAU METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(8): 935-939.
Hani I. Siyyam. AN ACCURATE SOLUTION OF THE POISSON EQUATION BY THE FINITE DIFFERENCE-CHEBYSHEV-TAU METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(8): 935-939.
[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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