A new approach to linear and nonlinear Schrodinger equations using the natural decomposition method
Shehu Maitama · International Mathematical Forum · 2014
Copyright c © 2014 Shehu Maitama. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we proposed a new computational algorithms called a new approach to linear and nonlinear Schrödinger equations using the Natural Decomposition Method (NDM). The proposed method is a com-bination of the Natural transform Method (NTM) and Adomian Decom-position Method (ADM). The new computational algorithms is applied directly without using any transformation, linearization, discretization or taking some restrictive assumptions. Exact solutions of two illus-trative examples was successfully fund using the proposed method, and the results are compared with the results of the existing methods. This shows the reliability, efficiency, and accuracy of the proposed method.