Variants of differential transform method in solving Schrodinger equations

Abdul Rahman Farhan Sabdin and Che Haziqah Che Hussin and Jumat Sulaiman and Arif Mandangan (2024) Variants of differential transform method in solving Schrodinger equations. Transactions on Science and Technology, 11 (1). pp. 17-22.

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Abstract

This paper obtains analytical solutions for the Schrodinger equations (SEs) using variants of the differential transform method (DTM). The solutions produced by two-dimensional DTM (2D-DTM), reduced DTM (RDTM), and multistep RDTM (MsRDTM) were observed. The outcomes show that the MsRDTM generated more highly accurate solutions to SEs than the 2D-DTM and RDTM. The solutions also show that the MsRDTM is straightforward to use, saves a significant amount of computing work when solving SEs, and has potential for broad application in other complex partial differential equations. Graphical representations are presented to illustrate the different effectiveness and accuracy of the variants of DTM.

Item Type:	Article
Keyword:	Differential transform method, Two-dimensional differential transform method, Reduced differential transform method, Multistep reduced differential Transform Method, Schrodinger Equation
Subjects:	Q Science > Q Science (General) > Q1-390 Science (General) Q Science > QC Physics > QC1-999 Physics > QC170-197 Atomic physics. Constitution and properties of matter
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	SITI AZIZAH BINTI IDRIS -
Date Deposited:	28 Aug 2024 09:25
Last Modified:	28 Aug 2024 09:25
URI:	https://eprints.ums.edu.my/id/eprint/40871

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