Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639037 | Journal of Computational and Applied Mathematics | 2014 | 7 Pages |
Abstract
An efficient numerical method is proposed for solving the mixed nonlinear Volterra–Fredholm two-dimensional integral equations (IEs), using two-dimensional radial basis functions (RBFs). This method is based on interpolation by radial basis functions including multiquadrics (MQs), using Legendre–Gauss–Lobatto nodes and weights. Also a theorem is proved for convergence analysis. Some numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the proposed method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
H. Almasieh, J. Nazari Meleh,