Article ID: | iaor20113301 |
Volume: | 217 |
Issue: | 12 |
Start Page Number: | 5622 |
End Page Number: | 5631 |
Publication Date: | Feb 2011 |
Journal: | Applied Mathematics and Computation |
Authors: | Bieniasz L K |
Keywords: | Volterra equations |
Numerical methods for systems of weakly singular Volterra integral equations are rarely considered in the literature, especially if the equations involve non‐linear dependencies between unknowns and their integrals. In the present work an adaptive Huber method for such systems is proposed, by extending the method previously formulated for single weakly singular second kind Volterra equations. The method is tested on example systems of integral equations involving integrals with kernels