Multistep reduced differential transform method in solving nonlinear schrodinger equations

Abdul Rahman Farhan Sabdin and Che Haziqah Che Hussin and Jumat Sulaiman and Arif Mandangan (2024) Multistep reduced differential transform method in solving nonlinear schrodinger equations. Journal of Advanced Research in Applied Sciences and Engineering Technology, 44 (2). pp. 1-12. ISSN 2462-1943

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Abstract

This paper obtains semi-analytical solutions for the nonlinear Schrodinger equations (NLSEs) using the multistep reduced differential transform method (MsRDTM). The implemented method yields an analytical approximate solution over a longer time frame, in which the method applied is treated as an algorithm in a sequence of small sub-division of intervals of identical length compared to the traditional reduced differential transform method (RDTM). Excluding the need of perturbation, linearization, or discretization, this method offers the benefit and reliability of the multistep algorithm. The outcomes show that the MsRDTM generated highly accurate solutions of NLSEs than the RDTM. In addition, the results show that the suggested method is straightforward to use, saves a significant amount of computing work when solving NLSEs, and has potential for broad application in other complex partial differential equations (PDEs) in the fields of engineering and science. The accuracy of the method is shown through the tables and graphical illustrations provided.

Item Type:	Article
Keyword:	Reduced differential transform method; Multistep reduced differential transform method; Nonlinear Schrodinger equations; Multistep scheme
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis Q Science > QC Physics > QC1-999 Physics > QC1-75 General
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	ABDULLAH BIN SABUDIN -
Date Deposited:	09 Sep 2024 11:23
Last Modified:	09 Sep 2024 11:23
URI:	https://eprints.ums.edu.my/id/eprint/41012

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