Approximate analytical solution for solving nonlinear Schrodinger equation

Che Haziqah Che Hussin (2021) Approximate analytical solution for solving nonlinear Schrodinger equation.

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Official URL: https://oer.ums.edu.my/handle/oer_source_files/187...

Abstract

The purpose of this article is to propose and implement the Multi-step Modified Reduced Different Transform (MMRDTM) to obtain a solution of the nonlinear Schrodinger equation (NLSE). By the proposed technique, we replaced the nonlinear term of the NLSE with the equivalent Adomian polynomials prior to adopting the multi-step approach. Therefore, we can get solutions with reduced complexity for NLSEs. Furthermore, the solutions can be approximated more precisely over a more extended time period. In order to demonstrate the efficiency and accuracy of the MMRDTM, we examined examples of NLSE and graphed the features of the solutions.

Item Type:	Proceedings
Keyword:	Adomian polynomials, multi-step approach, modified Reduced Differential Transform Method, nonlinear Schrodinger equations
Subjects:	Q Science > Q Science (General) > Q1-390 Science (General) Q Science > QA Mathematics > QA1-939 Mathematics > QA801-939 Analytic mechanics
Department:	CENTRE > Preparation Centre for Science and Technology
Depositing User:	SITI AZIZAH BINTI IDRIS -
Date Deposited:	25 Oct 2024 09:28
Last Modified:	25 Oct 2024 09:28
URI:	https://eprints.ums.edu.my/id/eprint/41612

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