Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629947 | Applied Mathematics and Computation | 2012 | 11 Pages |
Abstract
In this paper we tackle on mixed Volterra–Fredholm integral equations, as in linear as in non linear cases. To the aim to obtain numerical solutions of these models, the authors propose in the linear case the direct collocation method using a p-order quasi interpolating spline class and in the nonlinear case the fixed point method based on polynomial approximation built by Schauder tensor bases. The advantages of both methods are outlined and their convergence is studied. Numerical results confirm the theoretical statements.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Franca Caliò, A.I. Garralda-Guillem, E. Marchetti, M. Ruiz Galán,