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The Poincaré method for an oscillator with quadratic nonlinearity
Published 2004-04-01“… In [2], to evaluate free oscillation period of an undamped oscillator with large cubic restoring nonlinearity, a modified Poincare method has been proposed. …”
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Iterative Methods for Nonlinear Equations or Systems and Their Applications
Published 2013-01-01Get full text
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Iterative methods for nonlinear quasi complementarity problems
Published 1987-01-01Get full text
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New Iterative Method for Solving Nonlinear Equations
Published 2014-12-01Subjects: “…Nonlinear equation , convergence , three step method…”
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Modeling of Nonlinear Systems: Method of Optimal Injections
Published 2025-03-01Get full text
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An Analytical Approximation Method for Strongly Nonlinear Oscillators
Published 2012-01-01“…An analytical method is proposed to get the amplitude-frequency and the phase-frequency characteristics of free/forced oscillators with nonlinear restoring force. …”
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An Optimal Iteration Method for Strongly Nonlinear Oscillators
Published 2012-01-01“…We introduce a new method, namely, the Optimal Iteration Perturbation Method (OIPM), to solve nonlinear differential equations of oscillators with cubic and harmonic restoring force. …”
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On the Iterative Method for the System of Nonlinear Matrix Equations
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Quantifying Poincare’s Continuation Method for Nonlinear Oscillators
Published 2015-01-01Get full text
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The Galerkin Method for Solving Strongly Nonlinear Oscillators
Published 2022-01-01“…In this paper, we make use of the Galerkin method for solving nonlinear second-order ODEs that are related to some strongly nonlinear oscillators arising in physics and engineering. …”
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An Accurate and Fast Method for Improving ADC Nonlinearity
Published 2023-01-01“…This paper presents a new and accurate self-test method to compensate for one of the most effective errors of ADC because of its effect, which may result in a missing code, which is a differential nonlinear (DNL) of a 10-bit SAR-ADC. …”
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Broyden's Method for Solving Fuzzy Nonlinear Equations
Published 2010-01-01“…Instead of using standard analytical techniques, like Buckley and Qu method, which are not suitable for solving a system of fuzzy nonlinear equations where the coefficient is fuzzy number, Broyden's method is proposed for solving fuzzy nonlinear equations. …”
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Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods
Published 2023-12-01Subjects: “…collocation method…”
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Solving Nonlinear Partial Differential Equations By Using Adomian Decomposition Method, Modified Decomposition Method And Laplace Decomposition Method
Published 2017-05-01“…Therefore, it is deduced that these methods are, indeed, effective and suitable for the nonlinear partial differential equations with the initial values.…”
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On the Convergence Order of Jarratt-Type Methods for Nonlinear Equations
Published 2025-05-01“…The order of convergence for Jarratt-type methods in solving nonlinear equations is determined without relying on Taylor expansion. …”
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On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations
Published 2010-01-01“…Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions and approximate solutions obtained by Volterra Runge-Kutta and Direct Quadrature methods.…”
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Solutions of Nonlinear Operator Equations by Viscosity Iterative Methods
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Nonlinear Analysis: Optimization Methods, Convergence Theory, and Applications
Published 2015-01-01Get full text
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