Results 1 to 10 of about 80,552 (113)
A New Sixth Order Method for Nonlinear Equations in R [PDF]
The Scientific World Journal, 2014 A new iterative method is described for finding the real roots of nonlinear equations in R. Starting with a suitably chosen x0, the method generates a sequence of iterates converging to the root.
Sukhjit Singh, D. K. Gupta
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Journal of Numerical Analysis and Approximation Theory, 2021 We develop a new families of optimal eight--order methods for solving nonlinear equations. We also extend some classes of optimal methods for any suitable choice of iteration parameter.
Tugal Zhanlav, Otgondorj Khuder
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Comparison of some optimal derivative-free three-point iterations
Journal of Numerical Analysis and Approximation Theory, 2020 We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods.
Thugal Zhanlav, Khuder Otgondorj
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Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations [PDF]
Mathematica Moravica, 2022 In this paper, we shall discuss the existence and uniqueness of solutions for a nonlinear anti-periodic boundary value problem for fractional impulsive differential equations involving a Caputo-Fabrizio fractional derivative of order r ∈ (0, 1).
Benyoub Mohammed, Belghaba Kacem
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Scalar perturbations in cosmological f(R) models: the cosmic screening approach
European Physical Journal C: Particles and Fields, 2018 We investigate cosmological perturbations for nonlinear f(R) models within the cosmic screening approach. Matter is considered both in the form of a set of discrete point-like massive bodies and in the form of a continuous pressureless perfect fluid.
Özgür Akarsu +4 more
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Study on Optimal Conventional Triaxial Strength Criterion of Rock Based on Gauss-Newton Method [PDF]
E3S Web of ConferencesConventional triaxial strength criteria are used widely to judge the rock failure states. In this paper, the nonlinear least squares method (Guass-newton method) is used to fit the regression relationships between the maximum principal stress σ1 as well ...
Tian Mengtao +4 more
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Advances in Difference Equations, 2021 Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, these equations do not have a certain solution
R. Sadat +3 more
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European Physical Journal C: Particles and Fields, 2019 The field equations of $$f(R,{\mathcal {G}})$$ f(R,G) gravity are rewritten in the form of obvious wave equations with the stress–energy pseudotensor of the matter fields and the gravitational field as its source under the de Donder condition.
Bofeng Wu, Chao-Guang Huang
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Abstract and Applied Analysis, 2014 The following differential equation u(n)(t)+p(t)|u(σ(t))|μ(t) sign u(σ(t))=0 is considered. Here p∈Lloc(R+;R+), μ∈C(R+;(0,+∞)), σ∈C(R+;R+), σ(t)≤t, and limt→+∞σ(t)=+∞.
Alexander Domoshnitsky, Roman Koplatadze
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Liouville type theorems for the system of fractional nonlinear equations in R + n ${R^{n}_{+}}$
Journal of Inequalities and Applications, 2016 In this paper we consider the following system of fractional nonlinear equations in the half space R + n ${R^{n}_{+}}$ : 1 { ( − Δ ) α 2 u 1 ( x ) = x n γ u 1 α 1 ( x ) u 2 β 1 ( x ) , x ∈ R + n , ( − Δ ) α 2 u 2 ( x ) = x n γ u 1 α 2 ( x ) u 2 β 2 ( x )
Zhaohui Dai, Linfen Cao, Pengyan Wang
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