Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638798 | Journal of Computational and Applied Mathematics | 2015 | 8 Pages |
Abstract
A numerical method for solving the Volterra–Fredholm integral equations is presented. The method is based upon shifted Legendre polynomials approximation. The properties of shifted Legendre polynomials are first presented. These properties together with the shifted Gauss–Legendre nodes are then utilized to reduce the Volterra–Fredholm integral equations to the solution of a matrix equation. An estimation of the error is given. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Nemati,