Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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STUDY ON DECOULED PROJECTION METHOD FOR CAHN-HILLIARD EQUATION

  • GYEONGGYU LEE (NATIONAL INSTITUTE FOR MATHEMATICAL SCIENCES) ;
  • SEUNGGYU LEE (DIVISION OF APPLIED MATHEMATICAL SCIENCES, KOREA UNIVERSITY)
  • Received : 2023.11.15
  • Accepted : 2023.12.11
  • Published : 2023.12.25
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Abstract

We study the numerical analysis for the Cahn-Hilliard (CH) equation using the decoupled projection (DP) method. The CH equation is a fourth order nonlinear partial differential equation that is hard to solve. Therefore, various of numerical schemes have been proposed to solve the CH equation. To verify the relation of each existing scheme for the CH equation, we consider the DP method for linear convex splitting schemes. We present the numerical experiments to demonstrate our analysis. Throughout this study, it is expected to construct a novel numerical scheme using the relation with existing numerical schemes.

Keywords

Acknowledgement

This research was supported by "Regional Innovation Strategy (RIS)" through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (MOE) (No. 2023A-02-06-01-010).

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