Study of difference schemes for nonlinear equations by a variational method

1978 ◽  
pp. 157-163
Author(s):  
A. D. Ljaško ◽  
M. M. Karčevskiĭ
Keyword(s):  
Variational Method ◽  
Nonlinear Equations ◽  
Difference Schemes

scholarly journals Limit Cycle for the Brusselator by He's Variational Method

2007 ◽  
Vol 2007 ◽  
pp. 1-8 ◽  
Author(s):  
Juan Zhang
Keyword(s):  
Variational Method ◽  
Limit Cycle ◽  
Nonlinear Equations ◽  
Limit Cycles ◽  
Present Theory ◽  
Variational Theory ◽  
Weakly Nonlinear ◽  
Solution Domain

He's variational method for finding limit cycles is applied to the Brusselator. The technique developed in this paper is similar to Kantorovitch's method in variational theory. The present theory can be applied not only to weakly nonlinear equations, but also to strongly ones, and the obtained results are valid for the whole solution domain.

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