求线性边值问题数值解的Chebyshev τ-方法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Numerical Method for Solving Linear Boundary Value Problems by the Chebyshev Tau Method

1.
Department of Mathematics, Yarmouk University, Irbid-Jordan;
2.
Department of Mathematical Science, Jordan University of Science and Technology, Irbid-Jordan

摘要: 提出了一种求解二维线性边值问题的新的τ-方法.对该问题进行了理论分析和数值求解.结果表明了本文方法的优点和有效性.
- 边值问题 /
- Chebyshev多项式 /
- τ-方法
Abstract: A new Tau-method is presented for the two dimensional linear boundary value problems. Theoretical and numerical analyses are presented. These results indicate that our method works nicely and efficiently.
- boundary value problem /
- Chebyshev polynomial /
- Tau-method

[1]	Atkinson K E.An Introduction to Numerical Analysis[M].New York:John Wiley & Sons,1988.
[2]	Syam M,Siyyam H.An iterative method for solving a discrete Legendree approximation to ordinary boundary value problem[J].Japonica Journal.(accepted)
[3]	Canuto C,Hussaini M Y,Quarteroni A,Zang T A.Spectral Methods in Fluid Dynamics[M].Berlin:Springer,1987.
[4]	Dang-V U H,Delcarte C.An accurate solution of the Poisson equation by Chebyshev collocation method[J].Journal of Comput Physics,1993,104:220~221.