2021 Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation
Metomou Richard, Weidong Zhao
Author Affiliations +
J. Appl. Math. 2021: 1-19 (2021). DOI: 10.1155/2021/6626236


The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can see the Sumudu Adomian decomposition method (SADM) and the Laplace Adomian decomposition method (LADM); the SADM and LADM provide similar results. The SADM and LADM methods have been applied to solve nonlinear PDE, but the solution has small convergence radius for some PDE. We perform the SADM solution by using the function PL/M· called double Padé approximation. We will provide the graphical numerical simulations in 3D surface solutions of each application and the absolute error to illustrate the efficiency of the method. In our methods, the nonlinear terms are computed using Adomian polynomials, and the Padé approximation will be used to control the convergence of the series solutions. The suggested technique is successfully applied to nonlinear Schrödinger equations and proved to be highly accurate compared to the Sumudu Adomian decomposition method.


This research is partially supported by the Foundations of China (Nos. 12071261, 12001539, 11831010, 11871068), the Science Challenge Project (No. TZ2018001), and the national key basic research program (No. 2018YFA0703903). The first author also acknowledges the financial support of the Chinese Scholarship Council (CSC) in Shandong University with grand (CSC No: 2020DFJ001523).


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Metomou Richard. Weidong Zhao. "Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation." J. Appl. Math. 2021 1 - 19, 2021. https://doi.org/10.1155/2021/6626236


Received: 19 October 2020; Accepted: 9 February 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/6626236

Rights: Copyright © 2021 Hindawi


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