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.

引用

页码：152 / 159

页数：8

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