THE ELZAKI TRANSFORM WITH HOMOTOPY PERTURBATION METHOD FOR NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
In this paper, we have applied Elzaki transform with homotopy perturbation method to obtain analytic approximation for nonlinear Volterra integro-differential equations. Convergence of the solutions is attained by incorporating Padé approximation technique. The proposed technique is compared with variational iteration method. Comparison of solutions obtained by Elzaki transform with homotopy perturbation method and variational iteration method are presented. The results show that Elzaki transform homotopy perturbation combined with Padé technique is an efficient approach to solve nonlinear Volterra integro-differential equations.
Elzaki transform, homotopy perturbation method, integro-differential equations.