An asynchronous parallel mixed algorithm for linear and nonlinear equations

1987 ◽  
Vol 5 (3) ◽  
pp. 313-321 ◽  
Author(s):  
Shao Jianping ◽  
Kang Lishan
Keyword(s):  
Nonlinear Equations ◽  
Linear And Nonlinear ◽  
Asynchronous Parallel

Some variational principles associated with ODEs of maximal symmetry. Part 2: The general case

2018 ◽  
Vol 24 (2) ◽  
pp. 175-183
Author(s):  
Jean-Claude Ndogmo
Keyword(s):  
Explicit Form ◽  
Nonlinear Equations ◽  
Variational Principles ◽  
Symmetry Algebra ◽  
First Integrals ◽  
Maximal Symmetry ◽  
General Order ◽  
Linear And Nonlinear ◽  
Variational Symmetries ◽  
Variational Symmetry

Abstract Variational and divergence symmetries are studied in this paper for the whole class of linear and nonlinear equations of maximal symmetry, and the associated first integrals are given in explicit form. All the main results obtained are formulated as theorems or conjectures for equations of a general order. A discussion of the existence of variational symmetries with respect to a different Lagrangian, which turns out to be the most common and most readily available one, is also carried out. This leads to significantly different results when compared with the former case of the transformed Lagrangian. The latter analysis also gives rise to more general results concerning the variational symmetry algebra of any linear or nonlinear equations.

scholarly journals The variational iteration method for solving n-th order fuzzy differential equations

Open Physics ◽  
2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Hossein Jafari ◽  
Mohammad Saeidy ◽  
Dumitru Baleanu
Keyword(s):  
Differential Equations ◽  
Nonlinear Equations ◽  
Analytical Method ◽  
Iteration Method ◽  
Initial Conditions ◽  
Variational Iteration Method ◽  
Linear Differential Equations ◽  
Variational Iteration ◽  
Linear And Nonlinear ◽  
Linear Differential

AbstractThe variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method for solving linear and nonlinear equations. In this paper, the variational iteration method has been applied in solving nth-order fuzzy linear differential equations with fuzzy initial conditions. This method is illustrated by solving several examples.

Solution of linear and nonlinear equations by optical methods

1984 ◽  
Vol 23 (18) ◽  
pp. 3144 ◽  
Author(s):  
George Lewak ◽  
Sing H. Lee ◽  
W. Thomas Cathey
Keyword(s):  
Nonlinear Equations ◽  
Optical Methods ◽  
Linear And Nonlinear

Systems of Linear and Nonlinear Equations with Partial Integrals

2016 ◽  
Vol 219 (1) ◽  
pp. 133-142 ◽  
Author(s):  
A. S. Kalitvin ◽  
V. A. Kalitvin ◽  
N. I. Trusova
Keyword(s):  
Nonlinear Equations ◽  
Linear And Nonlinear
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