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Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method


Citation

Che Hussin, Che Haziqah and Kilicman, Adem and Azmi, Amirah (2018) Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method. COMPUSOFT: An International Journal of Advanced Computer Technology, 7 (11). 2939 - 2944. ISSN 2320-0790

Abstract

This paper aims to propose and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) to find solution of Nonlinear Schrodinger Equations (NLSEs). Through the proposed technique, we replaced the nonlinear term in the NLSEs by the corresponding Adomian polynomials prior applying the multistep approach. Thus, we can obtain solutions for the NLSEs in easier way with less complexity. In addition, the solutions can be approximated more accurately over a longer time frame. We considered several NLSEs and illustrate the features of these solutions in the form of graphs in order to show the power and accuracy of the MMRDTM.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: VINCA Institute of Nuclear
Keywords: Adomian polynomials; Multistep approach; Reduced differential transform method; Nonlinear Schrodinger equations
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 06 Sep 2022 07:23
Last Modified: 06 Sep 2022 07:23
URI: http://psasir.upm.edu.my/id/eprint/73138
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