Bibliographic Details
| Title: |
Some error estimates for the reproducing kernel Hilbert spaces method. |
| Authors: |
Abbasbandy, Saeid1 abbasbandy@yahoo.com, Azarnavid, Babak2 |
| Source: |
Journal of Computational & Applied Mathematics. Apr2016, Vol. 296, p789-797. 9p. |
| Subjects: |
Error analysis in mathematics, Estimation theory, Kernel (Mathematics), Hilbert space, Set theory, Boundary value problems, Mathematical bounds |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
