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Author:

Chen, Lizhen (Chen, Lizhen.) | Ma, Ying (Ma, Ying.) | Ren, Bo (Ren, Bo.) | Zhang, Guohui (Zhang, Guohui.)

Indexed by:

Scopus

Abstract:

An efficient modified leapfrog time-marching scheme for the diblock copolymer model is investigated in this paper. The proposed scheme offers three main advantages. Firstly, it is linear in time, requiring only a linear algebra system to be solved at each time-marching step. This leads to a significant reduction in computational cost compared to other methods. Secondly, the scheme ensures unconditional energy stability, allowing for a large time step to be used without compromising solution stability. Thirdly, the existence and uniqueness of the numerical solution at each time step is rigorously proven, ensuring the reliability and accuracy of the method. A numerical example is also included to demonstrate and validate the proposed algorithm, showing its accuracy and efficiency in practical applications.

Keyword:

Diblock copolymer energy stable phase field linear scheme

Author Community:

  • [ 1 ] [Chen, Lizhen]Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
  • [ 2 ] [Ren, Bo]Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
  • [ 3 ] [Zhang, Guohui]Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
  • [ 4 ] [Ma, Ying]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China

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Source :

COMPUTATION

Year: 2023

Issue: 11

Volume: 11

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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