Septic spline solutions of sixth-order boundary value problems

Journal of Computational and Applied Mathematics

Volumn 215, Issue 1, 2008, Pages 288-301

  Siddiqi, Shahid S ^a   Akram, Ghazala ^a  

^a UNIVERSITY OF THE PUNJAB   (Pakistan)

Author keywords

Boundary value problems; End conditions; Error bound; Septic spline

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; NUMERICAL ANALYSIS;

END CONDITIONS; ERROR BOUNDS;

BOUNDARY VALUE PROBLEMS;

EID: 40149109797     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.04.013     Document Type: Article

References (14)

1. Agarwal R.P. Boundary Value Problems for Higher-Order Differential Equations (1986), World Scientific, Singapore
2. Akram G., and Siddiqi S.S. End conditions for interpolatory septic splines. Intern. J. Comput. Math. 82 12 (2005) 1525-1540
3. Akram G., and Siddiqi S.S. Quintic spline solutions of fourth order boundary-value problems. Internat. J. Numer. Anal. Modelling 5 1 (2008) 101-111
4. Boutayeb A., and Twizell E.H. Numerical methods for the solution of special sixth order boundary-value problems. Intern. J. Comput. Math. 45 3 (1992) 207-223
5. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability (1961), Clarendon Press, Oxford (Reprinted: Dover Books, New York, 1981)
6. El-Gamel M., Cannon J.R., Latour J., and Zayed A.I. Sinc-Galerkin method for solving linear sixth order boundary-value problems. Mathematics of Computation 73 247 (2003) 1325-1343
7. Hoskins W.D., and Ponzo P.J. Some properties of a class of band matrices. Math. Comput. 26 118 (1972) 393-400
8. Papamichael N., and Worsey A.J. A cubic spline method for the solution of a linear fourth order two-point boundary value problem. J. Comput. Appl. Math. 7 (1981) 187-189
9. Siddiqi S.S., and Twizell E.H. Spline solutions of linear sixth order boundary value problems. Intern. J. Comput. Math. 60 (1996) 295-304
10. Toomre J., Zahn J.R., Latour J., and Spiegel E.A. Stellar convection theory II: single-mode study of the second convection zone in a-type stars. Astrophys. J. 207 (1976) 545-563
11. Usmani R.A. Bounds for the solution of a second order differential equation with mixed boundary conditions. J. Eng. Math. 9 2 (1975) 159-164
12. Usmani R.A. Discrete variable methods for a boundary value problem with engineering applications. Math. Comput. 32 144 (1978) 1087-1096
13. Usmani R.A. The use of quartic splines in the numerical solution of fourth order boundary value problem. J. Comput. Appl. Math. 44 (1992) 187-199
14. Wazwaz A. The numerical solution of sixth order boundary-value problem by the modified decomposition method. Appl. Math. Comput. 118 (2001) 311-325