Spline solutions of linear tenth-order boundary-value problems

International Journal of Computer Mathematics

Volumn 68, Issue 3-4, 1998, Pages 345-362

  Siddiqi, Shahid S ^a,b   Twizell, E H ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF THE PUNJAB   (Pakistan)

Author keywords

Finite difference methods; Tenth degree splines; Two point boundary value problems

Indexed keywords

DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; INTERPOLATION; POLYNOMIAL APPROXIMATION; ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; POLYNOMIALS; PROBLEM SOLVING;

EVEN ORDERS; HIGHER ORDER DERIVATIVES; ORDER BOUNDARIES; POLYNOMIAL SPLINES; SECOND ORDERS; SPLINE FUNCTIONS; SPLINE SOLUTIONS; TWO POINT BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

SPLINE FUNCTIONS; TENTH DEGREE SPLINES;

EID: 0031611507     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169808804701     Document Type: Article

References (12)

1. Boutayeb, A. and Twizell, E. H. (1991). Finite difference methods for twelfth-order boundary-value problems. Journal of Computational and Applied Mathematics, 35, 133-138.
2. Boutayeb, A. and Twizell, E. H. (1992). Numerical methods for the solution of special sixth-order boundary-value problems, Intern. J. Comp. Math., 45, 207-233.
3. Boutayeb, A. and Twizell, E. H. (1993). Finite-difference methods for the solution of eighth-order boundary-value problems, Intern. J. Comp. Math., 48, 63-75.
4. Chandrasekhar, S. Hydrodynamic and hydromagnetic stability (Clarendon Press Oxford, 1961. Reprinted by Dover Books, New York, 1981).
5. Djidjeli, K., Twizell, E. H. and Boutayeb, A. (1993). Finite-difference methods for special nonlinear boundary-value problems of order 2m, Journal of Computational and Applied Mathematics, 47, 35-45.
6. Siddiqi, S. S. Spline solutions of higher-order boundary-value problems, Ph. D. Thesis, 1994, Brunel University, England.
7. Siddiqi, S. S. and Twizell, E. H. (1996). Spline solutions of linear sixth-order boundary-value problems, Intern. J. Comp. Math., 60, 295-304.
8. Siddiqi, S. S. and Twizell, E. H. (1996). Spline solutions of linear eighth-order boundary-value problems, Computer Methods in Applied Mechanics and Engineering, 131, 309-325.
9. Twizell, E. H. Numerical methods for sixth-order boundary-value problems. In "Numerical Mathematics, Singapore 1988", International Series of Numerical Mathematics Birkhauser-Veriag, Basel, 86, 495-506.
10. Twizell, E. H. and Boutayeb, A. (1990). Numerical methods for the solutions of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems, Proc. R. Soc. Lond. A, 431, 433-450.
11. Twizell, E. H., Boutayeb, A. and Djidjeli, K. (1994). Numerical methods for eighth-, tenth-and twelfth-order eigenvalue problems arising in thermal instablity, Advances in Computational Mathematics, 2, 407-436.
12. Usmani, R. A. (1992). The use of quartic splines in the numerical solution of a fourth-order boundary-value problems, Journal of Computational and Applied Mathematics, 44, 187-199.