Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638206 | Journal of Computational and Applied Mathematics | 2016 | 9 Pages |
Abstract
In this paper we derive some effective error estimates for the reproducing kernel Hilbert space method applied to a general class of linear initial or boundary value problems. The first error estimate is computable and yields a worst case bound in the form of a percentage of the norm of the true solution which has not yet been discussed according to the knowledge of the authors. The second error estimate is a residual based error estimate, which is expressed in terms of the fill distance, so that convergence is studied for the fill distance tends to zero. This is a generalization and improvement of the existing error estimates. Some numerical results are presented to demonstrate the applicability of the estimates.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Saeid Abbasbandy, Babak Azarnavid,