The uniform convergence of the Tau Method for singularly perturbed problems

Applied Mathematics Letters

Volumn 10, Issue 2, 1997, Pages 91-94

  El Daou, M K ^a   Ortiz, E L ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Differential equations; Singular perturbation; Tau Method

Indexed keywords

EID: 0039976316     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00017-7     Document Type: Article

References (6)

1. E.L. Ortiz, The Tau Method, SIAM J. Numer. Anal. 6, 480-492 (1969).
2. E.L. Ortiz, Polynomial and rational approximations of boundary layer problems with the Tau Method, In Boundary and Interior Layers - Computational and Asymptotic Methods, (Edited by J.J.H. Miller), pp. 387-391, Boole Press, Dublin, (1980).
3. P. Onumanyi and E.L. Ortiz, Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau Method, Math. Comp. 43 (167), 189-203 (1984).
4. E.L. Ortiz and A. Pham Ngoc Dinh, An error analysis of the Tau Method for a class of singularly perturbed problem for differential equations, Math. Meth. Appl. Sci. 6, 457-466 (1984).
5. E. Pfeifer and H.G. Ross, A stability result for the Tau method, In Numerical Treatment of Differential Equations, (Edited by K. Strehmel), pp. 117-122, Teubner, Leipzig, (1991).
6. M.K. El-Daou and E.L. Ortiz, Error analysis of the Tau Method: Dependence of the error on the degree and the length of the interval of approximation, Computers Math. Applic. 25 (7), 33-45 (1992).