On the approximate solution to an initial boundary valued problem for the Cahn-Hilliard equation

被引：3
|
作者：
Rebelo, Paulo [1 ]
机构：
[1] Univ Beira Interior, Dept Matemat, P-6201001 Covilha, Portugal
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 02期
关键词：
Adomian polynomials; Fourier Method; Cahn-Hilliard equation; Pattern formation; Initial homogeneous boundary valued problem; DIFFERENTIAL-EQUATIONS; SYSTEM;
D O I：
10.1016/j.cnsns.2009.03.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The particular approximate solution of the initial boundary valued problem to the Cahn-Hilliard equation is provided. The Fourier Method is combined with the Adomian's decomposition method in order to provide an approximate solution that satisfy the initial and the boundary conditions. The approximate solution also satisfies the mass conservation principle. (c) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：225 / 231
页数：7
相关论文
共 50 条
  • [41] Complicated asymptotic behavior of solutions for the Cauchy problem of Cahn-Hilliard equation
    Wu, Yuqiu
    Wang, Liangwei
    Zhou, Langhao
    APPLIED MATHEMATICS LETTERS, 2019, 98 : 95 - 100
  • [42] Long Time Behavior of the Cahn-Hilliard Equation with Irregular Potentials and Dynamic Boundary Conditions
    Gilardi, Gianni
    Miranville, Alain
    Schimperna, Giulio
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 31 (05) : 679 - 712
  • [43] On the Cahn-Hilliard equation in H1(RN)
    Cholewa, Jan W.
    Rodriguez-Bernal, Anibal
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (12) : 3678 - 3726
  • [44] ON THE CAHN-HILLIARD EQUATION WITH MASS SOURCE FOR BIOLOGICAL APPLICATIONS
    Fakih, Hussein
    Mghames, Ragheb
    Nasreddine, Noura
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (02) : 495 - 510
  • [45] A nonconforming finite element method for the Cahn-Hilliard equation
    Zhang, Shuo
    Wang, Ming
    JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (19) : 7361 - 7372
  • [46] STOCHASTIC CAHN-HILLIARD EQUATION WITH FRACTIONAL NOISE
    Bo, Lijun
    Jiang, Yiming
    Wang, Yongjin
    STOCHASTICS AND DYNAMICS, 2008, 8 (04) : 643 - 665
  • [47] An equation related to the derivative Cahn-Hilliard equation with convection
    Colucci, Renato
    PHYSICA D-NONLINEAR PHENOMENA, 2025, 476
  • [48] Image Segmentation Using the Cahn-Hilliard Equation
    Yang, Wenli
    Huang, Zhongyi
    Zhu, Wei
    JOURNAL OF SCIENTIFIC COMPUTING, 2019, 79 (02) : 1057 - 1077
  • [49] Front fluctuations for the stochastic Cahn-Hilliard equation
    Bertini, Lorenzo
    Brassesco, Stella
    Butta, Paolo
    BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2015, 29 (02) : 336 - 371
  • [50] OPTIMIZED SCHWARZ METHODS FOR THE CAHN-HILLIARD EQUATION
    Xu, Yingxiang
    Sun, Yafei
    Wang, Shuangbin
    Gao, Shan
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2023, 45 (02) : A427 - A456
12345