Please use this identifier to cite or link to this item:
|Title:||A collocation method for solving a class of singular nonlinear two-point boundary value problems|
|Authors:||Qu, R. |
Method of collocation
Singular boundary value problems
|Citation:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 18, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.