Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation

• Main Authors: Ding, Qinxu, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2021
• Subjects: Engineering::Electrical and electronic engineering; Quintic Non-polynomial Spline; Time-fractional Derivative
• Online Access: https://hdl.handle.net/10356/148351
• Institution: Nanyang Technological University

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...