Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation
Abstract
In this work we consider a nonlinear Volterra integral equation with weakly singular kernel. An asymptotic error expansion for the explicit Euler's method is obtained and this allows the use of certain extrapolation procedures. The performance of the extrapolation method is illustrated by several numerical examples.
- Publication:
-
Icnaam 2010: International Conference of Numerical Analysis and Applied Mathematics 2010
- Pub Date:
- September 2010
- DOI:
- 10.1063/1.3497874
- Bibcode:
- 2010AIPC.1281.1175D
- Keywords:
-
- integral equations;
- numerical analysis;
- functional analysis;
- 02.30.Rz;
- 02.60.Cb;
- 02.30.Sa;
- Integral equations;
- Numerical simulation;
- solution of equations;
- Functional analysis