The iterated defect correction methods for singular two-point boundary value problems

International Journal of Computer Mathematics

Volumn 69, Issue 3-4, 1998, Pages 331-349

  Ertem, S ^a   Somali, S ^a  

^a DOKUZ EYLUL UNIVERSITY   (Turkey)

Author keywords

Iterated defect correction methods; Singular two point boundary value problems

Indexed keywords

APPROXIMATION THEORY; DEFECTS; PREDICTIVE CONTROL SYSTEMS; SPACE RENDEZVOUS;

APPROXIMATE RESULTS; ASYMPTOTIC EXPANSION; DEFECT CORRECTION; DEFECT CORRECTION METHOD; FIRST ORDER SYSTEMS; GLOBAL ERRORS; INTERPOLATING POLYNOMIALS; SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 0342685020     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169808804727     Document Type: Article

References (14)

1. Brabston, D. C. and Keller, H. B. (1977). A numerical method for singular two point boundary value problems, Siam J. Numer. Anal., 14, 779-791.
2. Chawla, M. M. and Katti, C. P. (1982) Finite difference methods and their convergence for a class of singular two point boundary value problems, Numer. Math., 39, 341-350.
3. Ciarlet, P. G., Natterer, F. and Varga, R. S. (1970). Numerical methods of higher order accuracy for singular nonlinear boundary value problems, Numer. Math., 15, 87-99.
4. Frank, R. (1977). The method of iterated defect-correction and its application to two-point boundary value problems, Part II, Numer. Math., 27, 407-420.
5. Gustafsson, B. (1973). A numerical method for solving singular boundary value problems, Numer. Math., 21, 328-344.
6. Han, G. Q. (1993). Spline finite difference methods and their extrapolation For singular two-point boundary value problems, J. Comput. Math., 11, 289-296.
7. nd Edn., Mc Graw-Hill.
8. Jamet, P. (1970). On the convergence of finite difference approximations to one-dimensional singular boundary value problems. Numer. Math., 14, 355-378.
9. Karasözen, B. and Somali, S. (1996). An error analysis of iterated defect correction methods for linear differential-algebraic equations, Intern. J. Computer Math., 60, 121-137.
10. Keller, H. B. and White, A. B. (1975). Difference methods for boundary value problems in ordinary differential equations, Siam J. Numer. Anal., 12, 791-802.
11. Reddien, C. V. and Schumaker, L. L. (1976). On a collacation method for singular two boundary value problems, Numer. Math., 25, 427-432.
12. Reddien, G. W. (1973). Projection methods and singular two point boundary value problems, Numer. Math., 21, 193-205.
13. Twizell, E. H. (1987). One-, two- and three-grid extrapolation methods for a class of singular two-point boundary value problems, Communications in Applied Numerical Methods, 3, 195-199.
14. Zadunaisky, P. E. (1976). On the estimation of errors propagated in the numerical integration of ordinary differential equations, Numer. Math., 27, 21-39.