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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
2021Vasile Marinca +2 more
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A new auxiliary function method for general constrained global optimization
Optimization, 2013 In this article, we first propose a method to obtain an approximate feasible point for general constrained global optimization problems (with both inequality and equality constraints). Then we propose an auxiliary function method to obtain a global minimizer or an approximate global minimizer with a required precision for general global optimization ...
Musa Mammadov
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The Optimal Auxiliary Functions Method
2021To apply the Optimal Auxiliary Functions Method (OAFM), we consider the following general nonlinear differential equation.
Vasile Marinca +2 more
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Piecewise Optimal Auxiliary Functions Method
2021In this Chapter, the Piecewise Optimal Auxiliary Functions Method (POAFM) is introduced in order to obtain a globally smooth approximate solution to a nonlinear dynamical system.
Vasile Marinca +2 more
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A new constructing auxiliary function method for global optimization
Mathematical and Computer Modelling, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong-Jun Wang, Jiang-She Zhang 0001
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The First Alternative of the Optimal Auxiliary Functions Method
2021In this chapter, we will actually solve the Eq. (2.13) from which the first approximation \(u_{1} (x,C_{i} )\) can be determined.
Vasile Marinca +2 more
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The Second Alternative to the Optimal Auxiliary Functions Method
2021In this Chapter, we present an alternative to the OAFM. For the nonlinear differential equation.
Vasile Marinca +2 more
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Solving nonlinearly constrained global optimization problem via an auxiliary function method
Journal of Computational and Applied Mathematics, 2009 Constrained continuous global minimization problems can be converted to unconstrained ones by adding a penalty term to the objective function. Penalty function methods require usually the determination of parameters, so that constrained and unconstrained problems have global minimizers.
Wenxing Zhu, M Montaz Ali
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International Journal of Emerging Multidisciplinaries: Mathematics, 2022
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit ...
Laiq Zada, Falak Naz, Rashid Nawaz
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This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit ...
Laiq Zada, Falak Naz, Rashid Nawaz
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A new global optimization technique by auxiliary function method in a directional search
Optimization Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ŞAHİNER, Ahmet, Ibrahem, Shehab A.
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