Generalized Laguerre spectral method for Fisher's equation on a semi-infinite interval

被引：9
|
作者：
Wang, Tian-jun [1 ]
机构：
[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 05期
关键词：
Fisher's equations; generalized Laguerre spectral method; inhomogeneous boundary conditions; 35K55; 35R15; 41A30; 35B30; 65M70; FOKKER-PLANCK EQUATION; DIFFERENTIAL-EQUATIONS; PSEUDOSPECTRAL METHOD; DOMAIN DECOMPOSITION; UNBOUNDED-DOMAINS; APPROXIMATION;
D O I：
10.1080/00207160.2014.920833
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a generalized Laguerre spectral method for Fisher's-type equation with inhomogeneous boundary conditions on a semi-infinite interval. By reformulating the equation with suitable functional transform, it is shown that the generalized Laguerre approximations are convergent on a semi-infinite interval with spectral accuracy. An efficient and accurate algorithm based on the generalized Laguerre approximations to the transformed equation is developed and implemented. Numerical results show the efficiency of this approach and coincide well with theoretical analysis.
引用
收藏
页码：1039 / 1052
页数：14
相关论文
共 50 条
  • [41] On generalized semi-infinite optimization of genetic networks
    Gerhard-Wilhelm Weber
    Aysun Tezel
    TOP, 2007, 15 : 65 - 77
  • [42] On semi-infinite minmax programming with generalized invexity
    Stefanescu, Maria Viorica
    Stefanescu, Anton
    OPTIMIZATION, 2012, 61 (11) : 1307 - 1319
  • [43] Generalized semi-infinite programming: Theory and methods
    Still, G
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 119 (02) : 301 - 313
  • [44] The feasible set in generalized semi-infinite optimization
    Stein, O
    APPROXIMATION, OPTIMIZATION AND MATHEMATICAL ECONOMICS, 2001, : 309 - 327
  • [45] SEMI-INFINITE MULTIOBJECTIVE PROGRAMMING WITH GENERALIZED INVEXITY
    Caristi, Giuseppe
    Ferrara, Massimiliano
    Stefanescu, Anton
    MATHEMATICAL REPORTS, 2010, 12 (03): : 217 - 233
  • [46] On generalized semi-infinite optimization of genetic networks
    Weber, Gerhard-Wilhelm
    Tezel, Aysun
    TOP, 2007, 15 (01) : 65 - 77
  • [47] Generalized semi-infinite programming: Numerical aspects
    Still, G
    OPTIMIZATION, 2001, 49 (03) : 223 - 242
  • [48] On reduction of nonconvex problems of the generalized semi-infinite mathematical programming to convex problems of the semi-infinite programming
    Levitin, E.S.
    Avtomatika i Telemekhanika, 1998, (01): : 28 - 34
  • [49] A semi-infinite matrix analysis of the BFKL equation
    de Leon, N. Bethencourt
    Chachamis, G.
    Romagnoni, A.
    Vera, A. Sabio
    EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (06):
  • [50] BOUSSINESQ EQUATION SOLUTIONS FOR SEMI-INFINITE AQUIFER
    NOUTSOPOULOS, G
    PAPATHANASSIADIS, T
    GAVRIILIDIS, I
    JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1984, 110 (08): : 1155 - 1161
12345