Chinese Quarterly Journal of Mathematics >
A Finite Volume Unstructured Mesh Method for Fractional-in-space Allen-Cahn Equation
Received date: 2016-12-16
Online published: 2020-10-20
Supported by
Supported by the National Natural Science Foundation of China(11105040,61773153)； Supported by the Foundation of Henan Educational Committee(18B110003,15A110015)； Supported by the Excellent Young Scientific Talents Cultivation Foundation of Henan University(yqpy20140037)； Supported by the Science and Technology Program of Henan Province(162300410061)；
Fractional-in-space Allen-Cahn equation containing a very strong nonlinear source term and small perturbation shows metastability and a quartic double well potential.Using a finite volume unstructured triangular mesh method, the present paper solves the twodimensional fractional-in-space Allen-Cahn equation with homogeneous Neumann boundary condition on different irregular domains. The efficiency of the method is presented through numerical computation of the two-dimensional fractional-in-space Allen-Cahn equation on different domains.
CHEN Ai-min, , LIU Fa-wang . A Finite Volume Unstructured Mesh Method for Fractional-in-space Allen-Cahn Equation[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(4) : 345 -354 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.04.002
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