Results 261 to 270 of about 572,545 (279)

Approximate analytical solution of Blasius' equation

Communications in Nonlinear Science and Numerical Simulation, 1998
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Analytic approximations of travelling wave solutions

Applicable Analysis, 1994
A method based on differential inequalities and the maximum principle is developed to construct analytic approdimations of travelling wave solutions of certain reaction–diffusion equations arising in biology. The approximations are asymptotic in the sense that they converge to the unique travelling wave on the real line as the wave speed goes to ...
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Approximate Analytical Solutions to Jerk Equations

2016
Nonlinear third-order differential equations, known as nonlinear jerk equations, involving the third temporal derivative of displacement are considered in this paper. This kind of equations is of much interest in analyzing some structures exhibiting rotating and translating motions such are robots or machine tools, where excessive jerk (defined as the ...
Nicolae Herişanu, Vasile Marinca
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Approximate analytical solutions of the Forchheimer equation

Journal of Hydrology, 2005
In this paper we derive approximate analytical solutions for non-steady-state, non-linear flows through porous media, described by the Forchheimer equation. We demonstrate that one has to distinguish between two characteristic regimes. In early times, the hydraulic gradient is steep, and subsequently the inertial terms are dominant.
Konstadinos N. Moutsopoulos, Vassilios A. Tsihrintzis   +1 more
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Analytical approximate solutions for asymmetric conservative oscillators

Archive of Applied Mechanics, 2019
This paper focuses on the construction of analytical approximate solutions for an asymmetric conservative single-degree-of-freedom oscillator. First, based on the asymmetric oscillator, two symmetric ones are introduced; then, the second-order Newton iteration method and the harmonic balance method are applied to the two oscillators, respectively ...
Weijia Liu, Baisheng Wu, Xin Chen, Weidong Zhu   +3 more
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Analytic approximate solutions to electrically actuated MEMS

AIP Conference Proceedings, 2020
The paper presents a combination of the Galerkin-Bubnov decomposition procedure and Optimal Homotopy Asymptotic Method (OHAM) to derive analytical approximate solutions to nonlinear vibration of clamped-clamped micro-electro-mechanical system (MEMS).
Nicolae Herisanu, Vasile Marinca
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An Approximate Analytical Solution for the Stepped Bearing

Journal of Applied Mechanics, 1961
Previously, solutions of the problem of the Rayleigh-type bearing with a step which is not straight have involved the use of the electrolytic tank or the use of relaxation methods, both of which are somewhat inconvenient as compared with the approximate analytical method described in this paper.
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Optimal arch: Approximate analytical and numerical solutions

Computers & Structures, 1994
Summary: This paper deals with the problem of the optimal arch as a uniformly compressed arch subjected to static loads, and two approximate solutions are proposed. The first is analytical and treats a symmetrical arch whose height/span ratio should not be too high; the second is numerical and treats an arch subjected to both vertical and horizontal ...
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Approximate analytic solutions of adiabatic capillary tube

International Journal of Refrigeration, 2004
Approximate analytic solution of capillary tube is valuable for theoretical analysis and engineering calculation. In this work, two kinds of approximate analytic solutions of adiabatic capillary tube have been developed. One is the explicit function of capillary tube length. Another is the explicit function of refrigerant mass flow rate.
Chunlu Zhang, Guoliang Ding
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Approximate analytical solution of generalized diode equation

IEEE Transactions on Electron Devices, 1991
An approximate but very precise analytical solution is derived of a generalized diode equation. This solution can be used in the theory of semiconductor diodes, photodetectors, solar cells, FETs (field-effect transistors), Gunn domain, and other areas of device physics.
T.A. Fjeldly, B.-J. Moon, M. Shur
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