An efficient analytical scheme with convergence analysis for computational study of local fractional Schrodinger equations

被引:15
作者
Dubey, Ved Prakash [1 ]
Singh, Jagdev [2 ]
Alshehri, Ahmed M. [3 ]
Dubey, Sarvesh [4 ]
Kumar, Devendra [5 ]
机构
[1] Shri Ramswaroop Mem Univ, Fac Math & Stat Sci, Barabanki 225003, Uttar Pradesh, India
[2] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
[3] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
[4] BR Ambedkar Bihar Univ, LND Coll, Dept Phys, Motihari 845401, Bihar, India
[5] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
关键词
Local fractional derivative; Local fractional Schrodinger's equation; Wave function; Local fractional Sumudu transform; PARTIAL-DIFFERENTIAL-EQUATIONS;
D O I
10.1016/j.matcom.2022.01.012
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we present a newly proposed local fractional method pertaining to the local fractional Sumudu transform (LFST) for computational study of local fractional Schrodinger's equations (LFSEs). The error analysis for the present method is also discussed here. The uniqueness and convergence analyses for the solution obtained by using the proposed scheme are also established. The numerical simulations for achieved results have been performed for different orders of a local fractional derivative. The results depict that the proposed method efficiently provides the solution for given equations in a smooth manner.(c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:296 / 318
页数:23
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