APPLYING A NEW HYBRID APPROACH TO PROVIDE EXACT SOLUTIONS FOR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

This paper suggests a new hybrid strategy for partial integro-differential equations arising in engineering applications. The new proposed method is based on hybridization the Kharrat-Toma integral transform with the homotopy perturbation method. This hybrid scheme aims to obtain exact solutions to several partial integro-differential equations subject to boundary or initial conditions in an effective and elegant compared to the numerical and analytical methods. In addition, that it reduces the integrals and computational steps. The obtained results display the applicability of the new suggested technique.