Comparison of different time discretization schemes for solving the Allen-Cahn equation

被引：3

作者：

Ayub, Sana ^{[1
]}

Rauf, Abdul ^{[1
]}

Affan, Hira ^{[2
]}

Shah, Abdullah ^{[1
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Pk Rd, Islamabad 45550, Pakistan

[2] Univ Hail, Phys Dept, Coll Sci, Hail, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2022年 / 23卷 / 3-4期

关键词：

diagonally implicit fractional-step theta-scheme; DUNE-PDELab; finite element method (FEM); the Allen-Cahn equation; PHASE FIELD MODEL; GENERALIZED MOTION; MEAN-CURVATURE; APPROXIMATION;

D O I：

10.1515/ijnsns-2019-0283

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article aims to solve the nonlinear Allen-Cahn equation numerically. The diagonally implicit fractional-step theta-(DIFST) scheme is used for the discretization of the time derivative term while the space derivative is discretized by the conforming finite element method. The computational efficiency of the DIFST scheme in terms of CPU time and temporal error estimation is computed and compared with other time discretization schemes. Several test problems are presented to show the effectiveness of the DIFST scheme.

引用

页码：603 / 612

页数：10

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