Numerical investigation of multiple periodic solutions of fourth-order semi-linear ODE

被引：0
|
作者：
Chaparova, Julia V. [1 ]
Kalcheva, Eli P. [1 ]
Koleva, Miglena N. [1 ]
机构：
[1] Univ Rousse, FNSE, Rousse 7017, Bulgaria
来源：
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12) | 2012年 / 1497卷
关键词：
Fourth-order ODE; variational methods; multiple solutions; inexact-Newton method; Homotopy method; Picard method; multi-grid algorithm; convergence;
D O I：
10.1063/1.4766780
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we consider stationary periodic solutions of fourth-order semi-linear parabolic equation, arising in population dynamics and spatial patterns formation. First, using variational method, we establish existence of infinitely many solutions. Next we develop a fast numerical algorithm for solving the model problem. Numerical results are proposed and discussed.
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页码：152 / 159
页数：8
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