Results 41 to 50 of about 2,392,564 (201)
Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian) [PDF]
In the paper we study a combined differential-difference method for solving nonlinear equations with non-differentiable operator. The semilocal convergence of the method is investigated and the order of convergence is established.
S. M. Shakhno, H. P. Yarmola
doaj
Asymptotic Integration of Fractional Differential Equations with Integrodifferential Right-Hand Side
In this paper we deal with the problem of asymptotic integration of a class of fractional differential equations of the Caputo type. The left-hand side of such type of equation is the Caputo derivative of the fractional order r ∈ (n − 1, n) of the ...
Milan Medved, Michal Pospisil
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Geometrically Constructed Family of the Simple Fixed Point Iteration Method
This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar +6 more
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On nonlinear Meissner’s equation [PDF]
Summary: A nonlinear equation of motion for a pendulum-type system is investigated. It differs from the classical equation of a mathematical pendulum in the presence of a parametric disturbance. The potential energy of the ``pendulum'' is a two-stage periodic step function of time.
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Local convergence of some high order iterative methods based on the decomposition technique using only the first derivative [PDF]
We present a local convergence analysis of some high order iterative methods based on the decomposition technique using only the first derivative for solving equations in order to approximate a solution of a nonlinear equation.
Ioannis K. Argyros, Santhosh George
doaj
Local Convergence of Exquerro-Hernandez Method
Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
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Extending the Applicability of Two-Step Solvers for Solving Equations
We present a local convergence of two-step solvers for solving nonlinear operator equations under the generalized Lipschitz conditions for the first- and second-order derivatives and for the first order divided differences.
Ioannis K. Argyros, Stepan Shakhno
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The Duffing Equation: Nonlinear Oscillators and their Behaviour
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering ...
Brennan, Michael J. [UNESP] +3 more
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Sarah Vaezzadeh +2 more
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