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Title: Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation
Authors: Ding, Qinxu 
Wong, Patricia Jia Yiing
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2020
Source: Ding, Q. & Wong, P. J. Y. (2020). Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation. Advances in Difference Equations, 2020(1).
Journal: Advances in Difference Equations
Abstract: In this paper, we shall solve a time-fractional nonlinear Schrödinger equation by using the quintic non-polynomial spline and the L1 formula. The unconditional stability, unique solvability and convergence of our numerical scheme are proved by the Fourier method. It is shown that our method is sixth order accurate in the spatial dimension and (2-γ) th order accurate in the temporal dimension, where γ is the fractional order. The efficiency of the proposed numerical scheme is further illustrated by numerical experiments, meanwhile the simulation results indicate better performance over previous work in the literature.
ISSN: 1687-1839
DOI: 10.1186/s13662-020-03021-0
Rights: © 2020 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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