Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102617
Title: A collocation method for solving a class of singular nonlinear two-point boundary value problems
Authors: Qu, R. 
Agarwal, R.P. 
Keywords: Approximation
Interpolation
Iterative method
Method of collocation
Singular boundary value problems
Subdivision algorithm
Issue Date: 7-Oct-1997
Source: Qu, R.,Agarwal, R.P. (1997-10-07). A collocation method for solving a class of singular nonlinear two-point boundary value problems. Journal of Computational and Applied Mathematics 83 (2) : 147-163. ScholarBank@NUS Repository.
Abstract: In this paper, an iterative algorithm for solving singular nonlinear two-point boundary value problems is formulated. This method is basically a collocation method for nonlinear second-order two-point boundary value problems with singularities at either one or both of the boundary points. It is proved that the iterative algorithm converges to a smooth approximate solution of the BVP provided the boundary value problem is well posed and the algorithm is applied appropriately. Error estimates for uniform partitions are also investigated. It has been shown that, for sufficiently smooth solutions, the method produces order h4 approximations. Numerical examples are provided to show the effectiveness of the algorithm.
Source Title: Journal of Computational and Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/102617
ISSN: 03770427
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

35
checked on Jan 13, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.