Abstract:
In this project, we used the variational iteration method (VIM) to find the approximate
solution of linear and nonlinear Volterra Fredholm integro- ordinary differential
equations of the second kind. The reduction in the size of computational work gives
this method a wider applicability. This study provides an analytical approximation to
determine the behavior of the solution. Moreover, we proved the existence and
uniqueness results and the examples are included to demonstrate the validity and
applicability of the proposed technique.
Finally, we also discussed the comparison between the approximate and the exact
solutions by using MATLAB software and the graphs are included to show its error.