Results 181 to 190 of about 1,391,702 (218)

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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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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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 analytic solutions for nonsimilar boundary layers.

AIAA Journal, 1967
The Crocco equation for zero pressure gradient and a constant viscosity density product is linearized and the results applied to boundary-layer problems where the given initial profile is much different from the Blasius profile. Four linearization assumptions are used, each of which leads to an eigenvalue problem having a discrete spectrum of ...
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Analytical Approximate Solutions for Vasicek Equation

SSRN Electronic Journal, 2007
This paper presents a theoretical analysis for the Vasicek equation in finance. The Adomian decomposition approach is introduced and the analytical solution is obtained. The results reported in this work provide further evidence of the importance of Adomian decomposition in finding the solution of partial differential equation.
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Approximate analytical solution of Blasius' equation

Communications in Nonlinear Science and Numerical Simulation, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Hybrid techniques for approximate analytical solution of space- and time-fractional telegraph equations

Pramana (Bangalore), 2022
S. Dubey, S. Chakraverty
semanticscholar   +1 more source