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<p>In this article, we study the phase separation equation coupled with viscoelasticity in two-space dimension. Pawłow and Zaja̧czkowski proposed the system and gave some mathematical analysis such as the existence of a solution in the series of results. Our purpose is to propose a decoupled finite difference scheme for the model and to show the unique existence of the solution for the scheme and the error estimate. Moreover, several numerical simulations are demonstrated.</p>

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A decoupled finite difference scheme for the phase separation equation coupled with viscoelasticity in two-space dimension

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  • 出版模式：

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  • 发表日期：

    2026年7月30日

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  • Mahito Anai,
  • Shuji Yoshikawa

摘要

In this article, we study the phase separation equation coupled with viscoelasticity in two-space dimension. Pawłow and Zaja̧czkowski proposed the system and gave some mathematical analysis such as the existence of a solution in the series of results. Our purpose is to propose a decoupled finite difference scheme for the model and to show the unique existence of the solution for the scheme and the error estimate. Moreover, several numerical simulations are demonstrated.