Newton's methods of series and fluxions

1999 ◽  
pp. 17-38
Keyword(s):  
Newton's Methods

On Semismooth Newton’s Methods for Total Variation Minimization

2007 ◽  
Vol 27 (3) ◽  
pp. 265-276 ◽  
Author(s):  
Michael K. Ng ◽  
Liqun Qi ◽  
Yu-fei Yang ◽  
Yu-mei Huang
Keyword(s):  
Total Variation ◽  
Total Variation Minimization ◽  
Newton's Methods

scholarly journals A nonmonotone inexact Newton algorithm for nonlinear systems of equations

1995 ◽  
Vol 36 (4) ◽  
pp. 460-492 ◽  
Author(s):  
Yi Xiao ◽  
Eric King-Wah Chu
Keyword(s):  
Hopf Bifurcation ◽  
Nonlinear Systems ◽  
Numerical Experiments ◽  
Standard Test ◽  
Test Problems ◽  
Systems Of Equations ◽  
Nonlinear Systems Of Equations ◽  
Special Cases ◽  
Nonmonotone Techniques ◽  
Newton's Methods

AbstractIn this paper, an inexact Newton's method for nonlinear systems of equations is proposed. The method applies nonmonotone techniques and Newton's as well as inexact Newton's methods can be viewed as special cases of this new method. The method converges globally and quadratically. Some numerical experiments are reported for both standard test problems and an application in the computation of Hopf bifurcation points.

scholarly journals A New Approach for Solving Dual Fuzzy Nonlinear Equations Using Broyden's and Newton's Methods

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
M. Y. Waziri ◽  
Z. A. Majid
Keyword(s):  
Nonlinear Equations ◽  
Newton's Method ◽  
Numerical Results ◽  
Parametric Form ◽  
New Approach ◽  
Broyden’S Method ◽  
Broyden's Method ◽  
Effectiveness And Efficiency ◽  
Initial Iteration ◽  
Newton's Methods

We present a new approach for solving dual fuzzy nonlinear equations. In this approach, we use Newton's method for initial iteration and Broyden's method for the rest of the iterations. The fuzzy coefficients are presented in parametric form. Numerical results on well-known benchmark fuzzy nonlinear equations are reported to authenticate the effectiveness and efficiency of the approach.

Thermal Radiation Effect on 3D Slip Motion of Alcu-Water and Cu-Water Nanofluids over a Variable Thickness Stretched Surface

2017 ◽  
Vol 377 ◽  
pp. 141-154 ◽  
Author(s):  
P. Mohan Krishna ◽  
N. Sandeep ◽  
Ram Prakash Sharma ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Radiation Effect ◽  
Skin Friction Coefficient ◽  
Slip Effect ◽  
Uniform Thickness ◽  
Thermal Radiation Effect ◽  
Parameters Of Interest ◽  
Slip Motion ◽  
Newton's Methods

The current paper covers the examination of 3D nanofluid motion over a slendering expanding sheet under the influence of slip effect and thermal radiation. In this study, we considered the Cu-water and Al50Cu50-water nanofluids over a non-uniform thickness expanding sheet. With the help of similitude transformations, we changed the derived governed equations as ordinary differential equations. The mathematical outcomes determined by using Runge-Kutta and Newton’s methods. We reveal and interpret the graphs for different parameters of interest. We discussed the skin friction coefficient and reduced Nusselt number at different pertinent parameters. Results shown that the rate of heat transfer is higher in Al50Cu50-water nanofluid when compared with Cu-water nanofluid.

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