References
- Agarwal , R. P. 1986 . Boundary Value Problems For Higher Order Differential Equations , Singapore : World Scientific .
- Agarwal , R. P. and Wong , P. J. Y. 1993 . Error Inequalities in Polynomial Interpolation and Their Applications , Dordrecht : Kluwer Academic Publishers .
- Agarwal , R. P. and Chow , Y. M. 1986 . Finite difference methods for boundary value problems of differential equations with deviating arguments . Comp. and Maths. With Appls. , 12A ( 11 ) : 1143 – 1153 .
- Albasiny , E. L. and Hoskins , W. D. 1969 . Cubic spline solutions of boundary value problems . Computer J. , 62 : 151 – 153 .
- Cavaretta , A. , Micchelli , C. and Dahmen , W. 1991 . Stationary Subdivision . AMS Memoirs , 93 : 453 – 453 .
- Chawla , M. M. 1978 . High-accuracy tridiagonal finite difference approximation for nonlinear two point boundary value problems . J. Inst. Maths Applics. , 22 : 203 – 209 .
- Chawla , M. M. 1979 . A sixth-order tridiagonal finite difference method for general nonlinear two point boundary value problems . J. Inst. Maths Applics. , 24 : 35 – 42 .
- Daubechies , I. 1988 . Orthonormal bases of compactly supported wavelets . Comm. Pure and Appl. Math. , : 909 – 996 .
- Dubuc , S. 1986 . Interpolation through an iterative scheme . J. Math. Anal. and Appl. , 144 : 185 – 204 .
- Dyn , N. , Gregory , J. A. and Levin , D. 1987 . A 4-point interpolatory subdivision scheme for curve design . Computer Aided Geometric Design , 4 : 257 – 268 .
- Fox , L. 1957 . The numerical solution of two point boundary value problems in ordinary differential equations , London : Oxford University Press .
- Henrici , P. 1962 . Discrete variable methods in ordinary differential equations , New York : John Wiley .
- Qu , R. 1994 . Curve and surface interpolation by subdivision algorithms . Computer Aided Drafting, Design and Manufacturing , 4 ( 2 ) : 28 – 39 .
- Qu , R. and Agarwal , R. P. 1995 . A cross difference approach to the analysis of subdivision algorithms . Neural, Parallel and Scientific Computations , 3 : 393 – 416 .
- Qu , R. and Agarwal , R. P. 1996 . Solving two point boundary value problems by interpolatory subdivision algorithms . Int. J. Computer Mathematics , 60 : 279 – 294 .
- Qu , R. 1996 . New formulae for numerical differentiation and integration . Mathematical and Computer Modelling , 24 ( 10 ) : 55 – 68 .
- Russell , R. D. 1977 . A comparison of collocation and finite differences for two point boundary value problems . SIAM J. of Numerical Analysis , 14 ( 1 ) : 19 – 39 .
- Usmani , R. A. and Warsi , S. A. 1980 . Quintic spline solutions of boundary value problems . Comp. and Maths. With Appl. , 6 : 197 – 203 .
- Zhang , B. 1995 . “ Boundary value problems of second order functional differential equations ” . In Boundary Value Problems for Functional Differential Equations , Edited by: Henderson , J. 301 – 306 . London : World Scientific .