Fourier Spectral Method for Nonlinear Time-Fractional Sine-Gordon Equations

Mathematics 2026 Open access

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Authors: Luyan Zhen, Lihua Jiang, Wenping Chen
DOI: 10.3390/math14050873
Cited by: 1
References: 11

Abstract

In this paper, the nonlinear time-fractional Sine-Gordon equation is investigated via the Fourier spectral method. The time-fractional derivative is approximated by the L1 approximation scheme, and the spatial component is discretized using the Fourier spectral method. The existence and uniqueness of the numerical solution are proven, and the stability and convergence of the proposed method are analyzed, respectively. Theoretical results are validated by numerical experiment.

Fields of Study & Subjects

Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis Nonlinear Waves and Solitons

Publication details

Journal / source
Mathematics
Publisher
MDPI AG
Volume
14
Issue
5
Pages
873–873
Publication date
5 March 2026
Language
EN