NUMERICAL ALGORITHM FOR THE COUPLED SYSTEM OF NONLINEAR VARIABLE-ORDER TIME FRACTIONAL SCHRODINGER EQUATIONS

被引：0
|
作者：
Zaky, M. A. [1 ,2 ]
Hendy, A. S. [3 ]
Aldraiweesh, A. A. [2 ]
机构：
[1] Natl Res Ctr, Dept Appl Math, Cairo 12622, Egypt
[2] King Saud Univ, Coll Educ, Educ Technol Dept, Riyadh, Saudi Arabia
[3] Ural Fed Univ, Inst Nat Sci & Math, Dept Computat Math & Comp Sci, 19 Mira St, Ekaterinburg 620002, Russia
来源：
ROMANIAN REPORTS IN PHYSICS | 2023年 / 75卷 / 01期
关键词：
Variable-order fractional derivative; Schrodinger equation; spectral method; finite difference method; OPERATIONAL MATRIX; GALERKIN METHOD; SPECTRAL METHOD; COLLOCATION; SCHEMES; QUANTUM;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A numerical simulation technique for the coupled system of variable -order time fractional nonlinear Schro center dot dinger equations is developed in this paper using the finite difference/spectral method. The finite difference method is adapted to dis-cretize the variable-order Caputo time-fractional derivative, and the spectral technique is used for spatial approximation. The significant advantage of the proposed algorithm is that the iterative procedure is not used to implement the nonlinear term in the cou-pled system. In addition, numerical experiments are performed in order to verify the accuracy of the method.
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页数：11
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