Elzaki transform decomposition method for solving linear and nonlinear integro-differential equations

Abstract

In this paper we present approximate solution of integro-differential equations using the method of Elzaki transform decomposition. The method illustrates the explicit evaluation of decomposition of the nonlinear terms involving Adomian polynomials in a non linearized, discretized or perturbed way. Numerical applications of the method are implemented on both linear and nonlinear integro-differential equations. The resulting numerical evidences show that the method is adequate and converges rapidly to the exact solution. All computations are implemented with Maple 18 software.