Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636020 | Applied Mathematics and Computation | 2007 | 14 Pages |
Abstract
In this paper, we present B-spline method for solving singular two-point boundary value problems for a certain differential equation having singular coefficients. The given singular boundary value problem is modified at the point of singularity. The modified problem is then solved by B-spline. In the case of non-linear problems, we first linearize the equation using Quasilinearization technique and the resulting problem is solved by B-spline. Error estimates are obtained which enable a deferred correction to be made. Optimal grid has been generated using the method. Some numerical examples have been included to demonstrate the efficiency of the method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mohan K. Kadalbajoo, Vivek Kumar,