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Volume 11, Issue 1
Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels

Guanghua Ji, Yuqi Yang & Hui Zhang

East Asian J. Appl. Math., 11 (2021), pp. 93-118.

Published online: 2020-11

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  • Abstract

In this paper, we study a ternary system for macromolecular microsphere composite (MMC) hydrogels. Assuming that the graft chains are distributed randomly around the macromolecular microspheres, a phase transition model was constructed. The stabilised-scalar auxiliary variable (S-SAV) approach is used to present a first-order energy stable scheme for solving the nonlinear system. Some numerical experiments are carried out to show the accuracy of the scheme, including the mass conservation of the volume fractions, the decrease in the modified energy, and the influence of different parameters.

  • AMS Subject Headings

65H10, 65M06, 65M22

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ghji@bnu.edu.cn (Guanghua Ji)

  • BibTex
  • RIS
  • TXT
@Article{EAJAM-11-93, author = {Ji , GuanghuaYang , Yuqi and Zhang , Hui}, title = {Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {11}, number = {1}, pages = {93--118}, abstract = {

In this paper, we study a ternary system for macromolecular microsphere composite (MMC) hydrogels. Assuming that the graft chains are distributed randomly around the macromolecular microspheres, a phase transition model was constructed. The stabilised-scalar auxiliary variable (S-SAV) approach is used to present a first-order energy stable scheme for solving the nonlinear system. Some numerical experiments are carried out to show the accuracy of the scheme, including the mass conservation of the volume fractions, the decrease in the modified energy, and the influence of different parameters.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100520.040820 }, url = {http://global-sci.org/intro/article_detail/eajam/18414.html} }
TY - JOUR T1 - Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels AU - Ji , Guanghua AU - Yang , Yuqi AU - Zhang , Hui JO - East Asian Journal on Applied Mathematics VL - 1 SP - 93 EP - 118 PY - 2020 DA - 2020/11 SN - 11 DO - http://doi.org/10.4208/eajam.100520.040820 UR - https://global-sci.org/intro/article_detail/eajam/18414.html KW - MMC hydrogels, ternary system, unconditionally energy stable, S-SAV AB -

In this paper, we study a ternary system for macromolecular microsphere composite (MMC) hydrogels. Assuming that the graft chains are distributed randomly around the macromolecular microspheres, a phase transition model was constructed. The stabilised-scalar auxiliary variable (S-SAV) approach is used to present a first-order energy stable scheme for solving the nonlinear system. Some numerical experiments are carried out to show the accuracy of the scheme, including the mass conservation of the volume fractions, the decrease in the modified energy, and the influence of different parameters.

Guanghua Ji, Yuqi Yang & Hui Zhang. (2020). Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels. East Asian Journal on Applied Mathematics. 11 (1). 93-118. doi:10.4208/eajam.100520.040820
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