Variants of differential transform method in solving Schrodinger equations

Abdul Rahman Farhan Sabdin; Che Haziqah Che Hussin; Jumat Sulaiman; Arif Mandangan.

Transactions on Science and Technology, 11(1), 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.

KEYWORDS: Differential transform method; Two-dimensional differential transform method; Reduced differential transform method; Multistep reduced differential Transform Method; Schrodinger Equation.



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