A Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation

A Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation

Abstract In this paper, we focus on the study of the Crank–Nicolson finite difference (CNFD) scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation (RSFOPTSGE). For this purpose, we first establish the CNFD scheme for RSFOPTSGE. Then, we discuss the existence, uniqueness, st...

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Bibliographic Details
Main Authors: Yanjie Zhou, Zhendong Luo
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Advances in Difference Equations
Subjects:
Crank–Nicolson finite difference scheme
Riesz space fractional-order parabolic-type sine-Gordon equation
Existence, stability, and convergence
Numerical experiment
Online Access:http://link.springer.com/article/10.1186/s13662-018-1674-z

Internet

http://link.springer.com/article/10.1186/s13662-018-1674-z

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