Operator splitting scheme based on barycentric Lagrange interpolation collocation method for the Allen-Cahn equation

被引：7

作者：

Deng, Yangfang ^{[1
]}

Weng, Zhifeng ^{[1
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 05期

关键词：

Allen-Cahn equation; Operator splitting method; Barycentric Lagrange interpolation collocation method; Crank-Nicolson scheme; Error estimates; FINITE-ELEMENT-METHOD; NUMERICAL ALGORITHM; IMAGE SEGMENTATION; SIMULATION; GROWTH;

D O I：

10.1007/s12190-021-01666-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the operator splitting scheme based on barycentric Lagrange interpolation collocation method for the two-dimensional Allen-Cahn equation. The original problem is split into linear and nonlinear subproblems: the linear part is solved by barycentric Lagrange interpolation collocation method in space and Crank-Nicolson scheme in time; the nonlinear part is solved analytically due to the availability of a closed-form solution. The error estimates of the proposed scheme are studied. Numerical experiments are carried out to demonstrate the accuracy and efficiency of the two operator splitting schemes.

引用

页码：3347 / 3365

页数：19

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