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|Title:||An iterative scheme for solving nonlinear two point boundary value problems|
|Authors:||Qu, R. |
Boundary value problems
Method of collocation
|Citation:||Qu, R.,Agarwal, R.P. (1997). An iterative scheme for solving nonlinear two point boundary value problems. International Journal of Computer Mathematics 64 (3-4) : 285-302. ScholarBank@NUS Repository.|
|Abstract:||In this paper, by using the ideas employed in the analysis of interpolatory subdivision algorithms for the generation of smooth curves, an iterative scheme for solving nonlinear two point boundary value problems is formulated. This method is basically a collocation method for nonlinear second order two point boundary value problems. It is proved that the iterative algorithm converges to a smooth approximate solution provided the boundary value problem is well posed and the algorithm is applied appropriately. Error estimates in the case of uniform partitions are also investigated. Some numerical examples are included to show the convergence of the proposed algorithm.|
|Source Title:||International Journal of Computer Mathematics|
|Appears in Collections:||Staff Publications|
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