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Efficient and Stable Time Integration of the Cahn-hillard Equations: Explicit, Implicit, and Explicit-iterative Schemes

Year: 2024

Type: article

Abstract: The article proposes a new algorithm for numerical integration over time of the Cahn-Hilliard equation, based on the combined application of the Eyre splitting method and the local iteration modified (LIM) scheme for solving a finite-dimensional problem at each time step. The proposed method is gradient-stable and allows calculations with large time steps and has an explicit nature of calculations. The results of numerical calculations are presented, demonstrating the capabilities of the proposed method and its comparison with common methods of time integration of the Cahn– Hilliard equation.

Source: Журнал вычислительной математики и математической физики

DOI: 10.31857/s0044466924080034

Authors: M. A Botchev, I. A Fakhurdinov, E. B Savenkov

Institutions: Keldysh Institute of Applied Mathematics, National Research Nuclear University MEPhI

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4405877945

FWCI:

Cites: 52

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Related to: 10