East Asian J. Appl. Math., 11 (2021), pp. 93-118.
Published online: 2020-11
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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} }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.