Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation

Abstract In this paper, we propose a cubic non-polynomial spline method to solve the time-fractional nonlinear Schrödinger equation. The method is based on applying the L1 $L_{1}$ formula to approximate the Caputo fractional derivative and employing the cubic non-polynomial spline functions to appro...

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Bibliographic Details
Main Authors: Mingzhu Li, Xiaohua Ding, Qiang Xu
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1743-3