Results 261 to 270 of about 5,584,987 (319)

An analytical approximate solution to the problem of precautionary savings [PDF]

Journal of Economic Dynamics and Control, 1998
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Approximate Solutions of Analytic Inequality Systems

SIAM Journal on Optimization, 2000
Summary: We consider the stability problem for a system of equalities and inequalities. We prove that when such a system is satisfied approximately at a certain point, it is also satisfied exactly on a nearby point.
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Approximate Analytical Solution of the Nonlinear Bethe Equation

International Journal of Applied and Computational Mathematics, 2019
The authors consider the Bethe equation, which is a nonlinear differential equation, describing the energy loss of electrons when they penetrate a material. They have used the Laplace Adomian decomposition method (LADM) to solve this equation approximated by \[ \frac{du}{dx}+\frac{ln(u+1)}{u}=0,\quad u(0)=u_0, \] where \(u\) is a dimensionless measure ...
O. González-Gaxiola, G. Chacón-Acosta, A. León-Ramírez   +2 more
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On Approximate Analytical Solutions for Vibrations in Cracked Plates

Applied Mechanics and Materials, 2006
Recent NATO funded research on methods for detection and interpretation methodologies for damage detection in aircraft panel structures has motivated work on low-order nonlinear analytical modelling of vibrations in cracked isotropic plates, typically in the form of aluminium aircraft panels.
Israr, Asif, Cartmell, Matthew P., Krawczuk, Marek, Ostachowicz, Wieslaw, Manoach, Emil, Trendafilova, I., Shishkina, E.V., Palacz, M.   +7 more
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Analytical Approximation of the Solution of the Dissipative Standard Map

International Journal of Bifurcation and Chaos, 1998
We consider a dissipative mapping derived from a modification of the Chirikov standard mapping. For simplicity, we assume that the dissipative strength is of the order of the square of the perturbing parameter of the conservative model. Under this assumption, we derive an analytical approximation of the solution associated to the dissipative mapping ...
CELLETTI, ALESSANDRA, Della Penna, G, Froeschle', C.   +2 more
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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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Analytical and approximate solutions of fractional‐order susceptible‐infected‐recovered epidemic model of childhood disease

Mathematical methods in the applied sciences, 2018
In this work, we make use of the conformable fractional differential transform method (CFDTM) in order to compute an approximate solution of the fractional‐order susceptible‐infected‐recovered (SIR) epidemic model of childhood disease.
H. M. Srivastava, Hatıra Günerhan
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An Approximate Analytical Solution to the Sir Model

SSRN Electronic Journal, 2021
An analytical expression, a formula, for the removed individuals in an epidemic, as a function of time, is suggested as an approximation of a Susceptible, Infected, Removed (SIR) epiemics dynamics model solution. The formula is shown to have an excellent fitting to real world data, as exemplified by the case of Italy in the New Coronavirus pandemic.
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Approximate analytic solutions to the NPDD: Short exposure approximations

Optics Communications, 2014
Abstract There have been many attempts to accurately describe the photochemical processes that take places in photopolymer materials. As the models have become more accurate, solving them has become more numerically intensive and more ‘opaque’. Recent models incorporate the major photochemical reactions taking place as well as the diffusion effects ...
Ciara E. Close, John T. Sheridan
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Approximate Analytical Solution for Solute Flow During Infiltration and Redistribution

Soil Science Society of America Journal, 1978
Abstract An approximate analytical solution is developed to describe solute flow in soil during infiltration and redistribution. For the solution it is assumed that hydrodynamic dispersion is linearly related to the pore water velocity. In order to use the solution it is necessary to estimate the solute penetration depth.
De Smedt, Florimond, Wierenga, P.J.
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