Nonic spline solutions of eighth order boundary value problems

Applied Mathematics and Computation

Volumn 182, Issue 1, 2006, Pages 829-845

  Akram, Ghazala ^a   Siddiqi, Shahid S ^a  

^a UNIVERSITY OF THE PUNJAB   (Pakistan)

Author keywords

Boundary value problems; End conditions; Nonic spline

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); LINEAR EQUATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EIGHTH ORDER BOUNDARY VALUE PROBLEMS; HIGHER ORDER DERIVATIVES; NONIC SPLINES;

SPLINES;

EID: 33750805810     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.04.046     Document Type: Article

References (9)

1. Boutayeb A., and Twizell E.H. Finite-difference methods for the solution of eighth-order boundary-value problems. Int. J. Comput. Math. 48 (1993) 63-75
2. Twizell E.H., Boutayeb A., and Djidjeli K. Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability. Adv. Comput. Math. 2 (1994) 407-436
3. Inc M., and Evans D.J. An efficient approach to approximate solutions of eighth-order boundary-value problems. Int. J. Comput. Math. 81 6 (2004) 685-692
4. Agarwal R.P. Boundary value problems for higher-order differential equations (1986), World Scientific, Singapore
5. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, 1961 (Reprinted: Dover Books, New York, 1981).
6. Siddiqi S.S., and Twizell E.H. Spline solution of linear eighth-order boundary value problems. Comput. Methods Appl. Mech. Eng. 131 (1996) 309-325
7. Shahid S. Siddiqi, Ghazala Akram, Septic spline solutions of sixth order boundary value problems, J. Comput. Appl. Math., submitted for publication.
8. Shahid S. Siddiqi, Ghazala Akram, End conditions for interpolatory nonic splines, Bull. Malaysian Math. Sci. Soc., submitted for publication.
9. Hoskins W.D., and Ponzo P.J. Some properties of a class of band matrices. Math. Comput. 26 118 (1972) 393-400