A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems

Applied Mathematics and Computation

Volumn 181, Issue 1, 2006, Pages 356-361

  Siraj ul Islam, ^a   Azam Khan, Muhammad ^b  

^a UNIVERSITY OF ENGINEERING AND TECHNOLOGY   (Pakistan)

^b NESCOM   (Pakistan)

Author keywords

Fifth order boundary value problem; Numerical method; Polynomial sextic spline functions

Indexed keywords

FIFTH-ORDER BOUNDARY-VALUE PROBLEM; POLYNOMIAL SEXTIC SPLINE FUNCTIONS;

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; POLYNOMIALS;

NUMERICAL ANALYSIS;

EID: 33749519376     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.01.042     Document Type: Article

References (7)

1. Davies A.R., Karageoghis A., and Phillips T.N. Spectral Galerkin methods for the primary two-point boundary-value problem in modeling viscoelastic flows. Int. J. Numer. Methods Eng. 26 (1988) 647-662
2. Karageoghis A., Phillips T.N., and Davies A.R. Spectral collocation methods for the primary two-point boundary-value problem in modeling viscoelastic flows. Int. J. Numer. Methods Eng. 26 (1988) 805-813
3. Agarwal R.P. Boundary-Value Problems for Higher Order Differential Equations (1986), World Scientific, Singapore
4. M.S. Khan, Finite difference solutions of fifth-order boundary-value problems, PhD Thesis, Brunel University, England, 1994.
5. Wazwaz A.M. The numerical solution of fifth-order boundary-value problems by domain decomposition method. J. Comput. Appl. Math. 136 (2001) 259-270
6. Fyfe D.J. Linear dependence relations connecting equal interval Nth degree splines and their derivatives. J. Inst. Math. Appl. 7 (1971) 398-406
7. Calgar H.N., et al. The numerical solution of fifth-order boundary-value problems with sixth-degree B-spline functions. Appl. Math. Lett. 12 (1999) 25-30