Results 1 to 10 of about 464,112 (191)

Highly Accurate Analytical Approximate Solutions of the Electrostatically Actuated Parallel Plates

open access: yesIEEE Access, 2023
This paper is concerned with highly accurate analytical approximate solutions to dynamic oscillation of the parallel-plates model of an electrostatic micro-actuator.
W. J. Liu, X. Q. Zhao
doaj   +3 more sources

Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations [PDF]

open access: yesThe Scientific World Journal, 2014
We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions
Bogdan Căruntu, Constantin Bota
doaj   +2 more sources

New Approximate Analytical Solutions of the Falkner-Skan Equation [PDF]

open access: yesJournal of Applied Mathematics, 2012
We propose an iterative method for solving the Falkner-Skan equation. The method provides approximate analytical solutions which consist of coefficients of the previous iterate solution.
Beong In Yun
doaj   +4 more sources

Analytically approximation solution to Einstein-Cubic gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
In this work, we introduce analytical approximate black hole solutions in Einstein-Cubic gravity. To obtain complete solutions, we construct the near horizon and asymptotic solutions as the first step.
S. N. Sajadi, S. H. Hendi
doaj   +3 more sources

On approximate analytical solutions of transcendental equations [PDF]

open access: yesRevista Brasileira de Ensino de Física
In this paper, we provide a simple method to analytically solve general problems in science and engineering, which involve transcendetal functions. To validate the technique, we first compared our results to the exact solutions of two well-known problems,
Regiane Aparecida Ragi Pereira   +2 more
doaj   +2 more sources

Analytical approximate solutions for nonplanar Burgers equations by weighted residual method

open access: yesResults in Physics, 2020
In this work, analytical approximate progressive wave solutions for the generalized form of the nonplanar KdV-Burgers (KdV-B) and mKdV-Burgers (mKdV-B) equations are presented and the results are discussed.
H. Demiray, E.R. El-Zahar
doaj   +3 more sources

Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method

open access: yesPartial Differential Equations in Applied Mathematics
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.
Md. Asaduzzaman   +2 more
doaj   +3 more sources

Analytical Approximate Solutions for Scalarized AdS Black Holes

open access: yesUniverse, 2022
The spontaneous scalarization of Schwarzscild-AdS is investigated in the Einstein-scalar-Gauss–Bonnet (ESGB) theory. Firstly, we construct scalarized AdS black holes numerically.
De-Cheng Zou   +5 more
doaj   +1 more source

Analytical Approximations to Charged Black Hole Solutions in Einstein–Maxwell–Weyl Gravity

open access: yesUniverse, 2023
The homotopy analysis method (HAM) is a useful method to derive analytical approximate solutions of black holes in modified gravity theories. In this paper, we study the Einstein–Weyl gravity coupled with Maxwell field and obtain analytical approximation
Sheng-Yuan Li   +3 more
doaj   +1 more source

Analytically approximation solution to $$R^{2}$$ gravity

open access: yesThe European Physical Journal C, 2023
AbstractIn this paper, we obtain analytical approximate black hole solutions in the framework of f(R) gravity and the absence of a cosmological constant. In this area, we apply the equations of motion of the theory to a spherically symmetric spacetime with one unknown function and derive black hole solutions without any constraints on the Ricci scalar.
Sajadi, Seyed Naseh   +2 more
openaire   +2 more sources

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