SOLVING 2 POINT BOUNDARY-VALUE-PROBLEMS BY INTERPOLATORY SUBDIVISION ALGORITHMS

Authors
QU RB AGARWAL RP
Citation
Rb. Qu et Rp. Agarwal, SOLVING 2 POINT BOUNDARY-VALUE-PROBLEMS BY INTERPOLATORY SUBDIVISION ALGORITHMS, International journal of computer mathematics, 60(3-4), 1996, pp. 279-294
Citations number
14
Categorie Soggetti
Computer Sciences",Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160 → ACNP
Volume
60
Issue
3-4
Year of publication
1996
Pages
279 - 294
Database
ISI
SICI code
Abstract
Smooth interpolatory subdivision algorithms for the generation of curv es are used to solve two point boundary value problems. A method of co llocation is formulated for linear second order two point boundary val ue problems. It is proved that the algorithms produce smooth continuou s solutions provided the algorithms are chosen appropriately. Error es timates for uniform partitions are also investigated. Finally, some nu merical examples are given to show the convergence of the algorithms.