Article ID: | iaor20123757 |
Volume: | 60 |
Issue: | 1 |
Start Page Number: | 27 |
End Page Number: | 50 |
Publication Date: | May 2012 |
Journal: | Numerical Algorithms |
Authors: | Fazeli Somayyeh, Hojjati Gholamreza, Shahmorad Sedaghat |
Keywords: | differential equations |
In this paper, we propose a new class of multistep collocation methods for solving nonlinear Volterra Integral Equations, based on Hermite interpolation. These methods furnish an approximation of the solution in each subinterval by using approximated values of the solution, as well as its first derivative, in the