Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632892 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
In this paper, we propose a multi-projection and iterated multi-projection methods for Fredholm integral equations of the second kind with a smooth kernel using polynomial bases. We obtain super-convergence rates for the approximate solutions, more precisely, we prove that in M-Galerkin and M-collocation methods not only iterative solution unâ² approximates the exact solution u in the supremum norm with the order of convergence n-4k, but also the derivatives of unâ² approximate the corresponding derivatives of u in the supremum norm with the same order of convergence, n being the degree of polynomial approximation and k being the smoothness of the kernel.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guangqing Long, Mitali Madhumita Sahani, Gnaneshwar Nelakanti,