International Journal of Industrial Mathematics
Volume:3 Issue: 3, Summer 2011

In this paper, He’s homotopy perturbation method is applied to solve two-dimensionallinear and nonlinear Volterra integral equations. Then homotopy perturbation method(HPM) is compared with the differential transform method (DTM) for solving two dimensionalintegral equations. We also give some examples to demonstrate the accuracy of themethod. From the computational view point, the homotopy perturbation method is moreefficient and easy to use.

In this paper, the fuzzy solution of non-linear fuzzy Volterra integro-differential equation(NFIDE) is approximated. To do this, we define a sequence of fuzzy functions whichapproximate the fuzzy solution of this type of equations and finally, we estimate upperbound of the error.