SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS USING LAPLACE-ADOMIAN DECOMPOSITION METHOD

Abstract

In this paper, the Laplace-Adomian decomposition method (LADM) is applied in obtaining numerical solutions to partial integro-differential equations. In order to verify the accuracy and efficiency of the LADM, the numerical results generated are compared with the variational iteration method and differential transform method. The comparison with the above methods shows that the LADM achieves better accuracy than the others.