A conservative difference scheme for the Riesz space-fractional sine-Gordon equation

A conservative difference scheme for the Riesz space-fractional sine-Gordon equation

Abstract In this paper, we study a conservative difference scheme for the sine-Gordon equation (SGE) with the Riesz space fractional derivative. We rigorously establish the conservation property and solvability of the difference scheme. We discuss the stability and convergence of the difference sche...

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Bibliographic Details
Main Authors: Zhiyong Xing, Liping Wen
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Advances in Difference Equations
Subjects:
Space-fractional sine-Gordon equation
Riesz fractional derivative
Conservation law
Newton method
Convergence and stability
Online Access:http://link.springer.com/article/10.1186/s13662-018-1689-5

Internet

http://link.springer.com/article/10.1186/s13662-018-1689-5

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