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A linearized second-order finite difference scheme for Riesz space-fractional Allen-Cahn equations with logarithmic free energy

Year: 2025

Type: article

Abstract: This paper aims to present a linearized second-order finite difference scheme for Allen-Cahn equations with Riesz fractional derivative and logarithmic free energy.First, the discrete maximum bound principle of the proposed scheme is discussed.Second, the discrete energy stability with classical energy is derived.Subsequently, a new discrete energy is defined and proven to be unconditionally decreasing.Finally, a numerical experiment is carried out to verify the theoretical results.

Source: Journal of Nonlinear Functional Analysis

DOI: 10.23952/jnfa.2025.8

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411500396

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