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Author:

Ji, G. (Ji, G..) | Xu, Z. (Xu, Z..) | Yang, Y. (Yang, Y..)

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Abstract:

In this paper, we develop a fully discrete scheme to solve the confined ternary blended polymers (TBP) model with four order parameters based on the stabilized-scalar auxiliary variable (S-SAV) approach in time and the Fourier spectral method in space. Then, theoretical analysis is given for the scheme based on the backward differentiation formula. The unconditional energy stability and mass conservation are derived. Rigorous error analysis is carried out to show that the fully discrete scheme converges with order O(τ2+hm) in the sense of the L2 norm, where τ is the time step, h is the spatial step, and m is the regularity of the exact solution. Finally, some numerical results are given to demonstrate the theoretical analysis. Moreover, the phase separation of two kinds of polymer particles, namely, Ashura and Janus core-shell particles, is presented to show the morphological structures. © 2022 Global-Science Press.

Keyword:

ternary blended polymers unconditional energy stability Fourier spectral method Confinement error estimates

Author Community:

  • [ 1 ] [Ji G.]Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
  • [ 2 ] [Xu Z.]Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Yang Y.]Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

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Source :

CSIAM Transactions on Applied Mathematics

ISSN: 2708-0560

Year: 2022

Issue: 3

Volume: 3

Page: 480-514

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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