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An optimized Crank–Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation

Crossref DOI link: https://doi.org/10.1186/s13662-018-1939-6

Published Online: 2019-01-03

Published Print: 2019-12

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Zhou, Yanjie

Luo, Zhendong
Funding

Funding for this research was provided by:

National Natural Science Foundation of China (11671106)

National Natural Science Foundation of China (41704047)

National Key Research and Development Project of China (2017YFC1500301)

cultivation fund of the National Natural and Social Science Foundations in BTBU (LKJJ2016-22)
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Article History

Received: 28 August 2018

Accepted: 19 December 2018

First Online: 3 January 2019

Competing interests

: The authors declare that they have no competing interests.