A New Technique Using the Polynomials Approximation and Trapezoidal Average Method for Estimating Kinetic Rate Constants in Systems of Linear or Nonlinear Differential Equations

1974 ◽  
Vol 47 (3) ◽  
pp. 579-582 ◽  
Author(s):  
Katsutoshi Ohkubo ◽  
Kohji Tsuchihashi ◽  
Hiroyuki Sakamoto
Keyword(s):  
Differential Equations ◽  
Rate Constants ◽  
Average Method ◽  
Nonlinear Differential Equations ◽  
New Technique ◽  
Kinetic Rate ◽  
Kinetic Rate Constants ◽  
A New Technique

A class of nonlinear heat-type equations and their multi-wave solutions by a generalized bilinear technique

2016 ◽  
Vol 30 (06) ◽  
pp. 1650067
Author(s):  
Jun-Rong Liu
Keyword(s):  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
New Technique ◽  
Bilinear Operators ◽  
Wave Solutions ◽  
Dependent Variables ◽  
A New Technique ◽  
Bilinear Equations

Multi-wave resonant solutions of a class of nonlinear heat-type equations are investigated by their corresponding generalized bilinear equations. We develop a new technique for searching for resonant solutions to those generalized bilinear equations, using the idea of weights of dependent variables. The results show that generalized bilinear operators and generalized bilinear equations are powerful and irreplaceable tools for dealing with nonlinear differential equations.

scholarly journals Short Communication: A technique for investigating nonlinear vibrations

2012 ◽  
Vol 34 (2) ◽  
pp. 135-138
Author(s):  
Nguyen Dong Anh
Keyword(s):  
Differential Equations ◽  
Nonlinear Vibrations ◽  
Short Communication ◽  
Nonlinear Differential Equations ◽  
Duffing Oscillator ◽  
New Technique ◽  
Equivalent Linearization ◽  
Nonlinear Features ◽  
A New Technique ◽  
Main Ideas

In this short communication the main ideas of the method of equivalent linearization and dual conception are further extended to suggest a new technique for solving nonlinear differential equations. This technique allows improving the accuracy when the nonlinearity is strong and getting nonlinear features of responses. For illustration the Duffing oscillator is considered to demonstrate the effectiveness of the proposed technique.

Interfacial catalysis by phospholipase A2: determination of the interfacial kinetic rate constants

Biochemistry ◽  
1991 ◽  
Vol 30 (29) ◽  
pp. 7283-7297 ◽  
Author(s):  
Otto G. Berg ◽  
Bao Zhu Yu ◽  
Joe Rogers ◽  
Mahendra Kumar Jain
Keyword(s):  
Phospholipase A2 ◽  
Rate Constants ◽  
Kinetic Rate ◽  
Kinetic Rate Constants ◽  
Interfacial Catalysis

The matrix effects on kinetic rate constants of antibody–antigen interactions reflect solvent viscosity

1998 ◽  
Vol 217 (1-2) ◽  
pp. 51-60 ◽  
Author(s):  
Claire L. Morgan ◽  
David J. Newman ◽  
Jacky M. Burrin ◽  
Christopher P. Price
Keyword(s):  
Rate Constants ◽  
Matrix Effects ◽  
Kinetic Rate ◽  
Solvent Viscosity ◽  
Kinetic Rate Constants ◽  
The Matrix
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