Shehu Transform Adomain Decomposition Method for the Solution of Linear and Nonlinear Integral and Intro-differential Equations

Shehu Transform Adomain Decomposition...

Abstract

Shehu transform Adomian decomposition method (STADM) is proposed in this work to handle both linear and nonlinear integral and integro-differential equations.The Shehu transform is applied to both constant and variable coefficient initial value problems, just for the sake of completeness. Since Shehu transform generalizes the earlier two transforms, namely, Laplace and Sumudu transforms, as it conveniently replaces any of them with ease of computation. The so-called Adomian polynomials are adopted to overcome the nonlinearities whenever such is encountered in the problem. The proposed method is applied to selected problems in the literature and the results are comparatively good.