Work

A linearly decoupled second-order finite difference scheme for ternary Allen-Cahn equations (pp.510-533)

Year: 2025

Type: article

Abstract: In this paper, we construct a new linearly second-order finite difference scheme to solve the ternary Allen-Cahn equation.We use the modified Crank-Nicolson/Adams-Bashforth scheme with a stabilized term for time and a central finite difference scheme for space.We prove that the numerical solutions satisfy the discrete maximum bound principle (MBP) and energy stability under reasonable constraints on the time step size and coefficient of stabilized term.Based on the MBP, the maximum-norm error estimates are rigorously analyzed.Several numerical experiments are performed to verify the theoretical results.

Source: Applied and Computational Mathematics

DOI: 10.30546/1683-6154.24.3.2025.510

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Natural Science Foundation of Jilin Province, National Natural Science Foundation of China, People's Government of Jilin Province

Awards: G1354750466, G4656290190

OpenAlex ID: W4413225764

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