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A class of methods based on non-polynomial sextic spline functions for the solution of a special fifth-order boundary-value problems
- Source :
-
Journal of Mathematical Analysis & Applications . Sep2006, Vol. 321 Issue 2, p651-660. 10p. - Publication Year :
- 2006
-
Abstract
- Abstract: A family of fourth and second-order accurate numerical schemes is presented for the solution of fifth-order boundary-value problems with two-point-boundary conditions. The non-polynomial sextic spline functions are applied to construct the numerical algorithms. This approach generalizes polynomial spline algorithms, and provides solution at every point of range of integration. Convergence of the methods is discussed through standard convergence analysis. A numerical illustration is given to show the pertinent features of the technique. [Copyright &y& Elsevier]
- Subjects :
- *SEXTIC equations
*SPLINE theory
*BOUNDARY value problems
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 321
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 20901729
- Full Text :
- https://doi.org/10.1016/j.jmaa.2005.08.023