Results 311 to 320 of about 466,026 (339)

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
openaire   +1 more source

Approximate analytical solution of the Boussinesq equation [PDF]

, 1999
A new approximate solution of the one-dimensional Boussinesq equation is presented for a semi-infinite aquifer when the hydraulic head at the source is an arbitrary function of time. Estimates for recharge, discharge, and elevation of the water table are given.
Lockington, D. A., Hogarth, W., Parlange, J., Parlange, M.   +3 more
openaire   +1 more source

Analytic approximation of solutions of differential equations

Complex Variables, Theory and Application: An International Journal, 1994
Mathematical software such as Macsyma, Mathematica, and Maple have built in differential equation solvers and Taylor series procedures for solving a wide variety of differential equations with associated conditions. If one selects examples that do not fit in with the assumptions used in these solvers, then one must develop alternative programs to ...
L.R. Bragg, B. Cahlon
openaire   +1 more source

An approximate analytic solution of the Lorenz equations

Journal of Physics A: Mathematical and General, 1983
Summary: Multiple-time perturbation theory is applied to the Lorenz equations to obtain approximate solutions. These solutions are used to obtain the form of the mapping relating two successive maxima of one of the variables of the equations. Good agreement is obtained with the numerical results presented by Lorenz.
openaire   +1 more source

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
openaire   +1 more source

Approximate analytical solution of Blasius' equation

Communications in Nonlinear Science and Numerical Simulation, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Analytical Approximate Solutions for Scalarized AdS Black Holes

Universe, 2023
De-Cheng Zou, Shengyuan Li, Yun Soo Myung   +2 more
exaly  

Blending solids with approximate analytical solution to PDE

Proceedings. Eighth International Conference on Information Visualisation, 2004. IV 2004., 2004
Jian J. Zhang 0001, Lihua You
openaire   +1 more source

Approximate Analytical Solutions for Launch-Vehicle Ascent Trajectory

IEEE Transactions on Aerospace and Electronic Systems, 2023
Qi Yu, Wanchun Chen, Wenbin Yu
exaly  

About Analytical Approximate Solutions of the Van der Pol Equation in the Complex Domain

Fractal and Fractional, 2023
Виктор Орлов, Alexander Chichurin   +1 more
exaly