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

Muhammed I. Syam; Hani I. Siyyam; Qassem Al-Moudalal

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(8): 815-821

Muhammed I. Syam, Hani I. Siyyam, Qassem Al-Moudalal. Numerical Method for Solving Linear Boundary Value Problems by the Chebyshev Tau Method[J]. Applied Mathematics and Mechanics, 1999, 20(8): 815-821.

Citation:

PDF( 274 KB)

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

Received Date: 1998-08-24
Publish Date: 1999-08-15

Abstract

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

FullText(HTML)

References(4)

References

[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.