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A Third-Order Structure-Preserving Exponential Time Differencing Runge-Kutta Scheme for the Binary Fluid-Surfactant Phase Field Model

Published Online: 2025-12-02

Published Print: 2026-01

Authors

Duan, Jiayi

Ju, Lili https://orcid.org/0000-0002-6520-582X
Li, Xiao

Qiao, Zhonghua
Funding

Funding for this research was provided by:

The CAS AMSS-PolyU Joint Laboratory of Applied Mathematics (JLFS/P-501/24)

Hong Kong Research Grants Council (No. RFS2021-5S03)

Hong Kong Research Grants Council (15303121)

National Science Foundation (DMS-2409634)

Beijing Normal University (312200502508)
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Text and Data Mining valid from 2025-12-02

Version of Record valid from 2025-12-02
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Article History

Received: 3 June 2025

Revised: 31 October 2025

Accepted: 12 November 2025

First Online: 2 December 2025

Declarations

:

: The authors declare that they have no conflict of interest.

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