On the solution of singularly perturbed boundary value problems by a Chebyshev method

International Journal of Computer Mathematics

Volumn 71, Issue 4, 1999, Pages 521-529

  Taiwo, O A ^a   Evans, D J ^a  

^a UNIVERSITY OF ILORIN   (Nigeria)

Author keywords

Asymptotic expansion; Chebyshev method; Finite difference methods; Gaussian elimination process; Standard collocation method; Stiffness

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; PERTURBATION TECHNIQUES; STIFFNESS;

APPROXIMATE SOLUTION; ASYMPTOTIC EXPANSION; CHEBYSHEV METHOD; COLLOCATION METHOD; GAUSSIAN ELIMINATION; INDEPENDENT VARIABLES; SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS; UNKNOWN COEFFICIENTS;

NUMERICAL METHODS;

EID: 0005114462     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169908804826     Document Type: Article

References (6)

1. Aziz, A. K. (Ed.) (1975). "Numerical Solution of Two-point Boundary Value Problems", Blaisdal-New York.
2. Chem, P. Y. P. (1981). "Solution of Boundary Value Problem by the Lanczos Chebyshev Reduction Method," International Journal on Number. Meth. Engineering, 17, 291-299.
3. Lanczos, C. (1956). "Applied Analysis", Prentice Hall, New Jersey.
4. Taiwo, O. A. (1991). "Collocation Methods for Singularly Perturbed Ordinary Differential Equations", Ph.D. Thesis (unpublished), University of Ilorin, Nigeria.
5. Taiwo, O. A. and Onumanyi, P. (1990). "A Collocation Approximation of Singularly Perturbed Second Order Ordinary Differential Equations", Intern. Journal Computer Math., 39, 205-211.
6. Onumanyi, P. and Ortiz, E. L. (1984). "Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems with a Segmented-adaptive Formulation of the Tau Method", Mathematics of Computation, 43, 189-203.