The variational iteration method for solving linear and nonlinear Volterra integral and integro-differential equations

Abstract

The variational iteration method is used for solving the linear and nonlinear Volterra integral and integro-differential equations. The method is reliable in handling Volterra equations of the first kind and second kind in a direct manner without any need for restrictive assumptions. The method significantly reduces the size of calculations.

Keywords:

• variational iteration method
• Volterra integral equations
• Volterra integro-differential equations

2000 AMS Subject Classifications::

• 31B10
• 45A05
• 45D05
• 45G10
• 65R20