Results 91 to 100 of about 1,391,702 (218)

Approximate Analytical Solution of the Yukawa Potential with Arbitrary Angular Momenta [PDF]

open access: yes, 2012
The Yukawa potential is often used to compute bound-state normalizations and energy levels of neutral atoms. By using the generalized parametric Nikiforov-Uvarov method, we obtain approximate analytical solutions of the radial Schrödinger equation for ...
M. Hamzavi   +3 more
semanticscholar   +1 more source

Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems

open access: yesMathematics
This work presents a reliable algorithm to obtain approximate analytical solutions for a strongly coupled system of singularly perturbed convection–diffusion problems, which exhibit a boundary layer at one end. The proposed method involves constructing a
Essam R. El-Zahar   +2 more
doaj   +1 more source

Analytical Approximant to a Quadratically Damped Forced Cubic-Quintic Duffing Oscillator

open access: yesThe Scientific World Journal, 2022
The cubic-quintic Duffing oscillator of a system with strong quadratic damping and forcing is considered. We give elementary approximate analytical solution to this oscillator in terms of exponential and trigonometric functions. We compare the analytical
Alvaro H. S. Salas
doaj   +1 more source

Effect of heat transfer on thermal stresses in an annular hyperbolic fin: an approximate analytical solution

open access: yes, 2016
An approximate analytical solution is presented for thermal stresses in an annular convective-conductive fin of a hyperbolic profile with temperature dependent thermal conductivity.
A. Mallick   +2 more
semanticscholar   +1 more source

Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system

open access: yes, 2002
We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means.
Rein, Gerhard, Rodewis, Thomas
core   +2 more sources

Imprecise continuous-time Markov chains : efficient computational methods with guaranteed error bounds [PDF]

open access: yes, 2017
Imprecise continuous-time Markov chains are a robust type of continuous-time Markov chains that allow for partially specified time-dependent parameters. Computing inferences for them requires the solution of a non-linear differential equation.
De Bock, Jasper, Erreygers, Alexander
core   +1 more source

Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System

open access: yesMathematics, 2020
The main goal of this paper is to present an analytical integration in connection with the geometrical frame given by the Hamilton–Poisson formulation of a specific case of Chen’s system. In this special case we construct an analytic approximate solution
Remus-Daniel Ene   +2 more
doaj   +1 more source

APPROXIMATE ANALYTICAL SOLUTION OF THE TIME FRACTIONAL WHITHAM-BROER-KAUP EQUATION USING THE HOMOTOPY ANALYSIS METHOD

open access: yes, 2015
In this paper, the homotopy analysis method (HAM) is applied to the time fractional Whitham-Broer-Kaup equation to obtain its approximate analytical solutions.
A. Kurt, O. Taşbozan
semanticscholar   +1 more source

Calculating Luminosity Distance versus Redshift in FLRW Cosmology via Homotopy Perturbation Method

open access: yes, 2016
We propose an efficient analytical method for estimating the luminosity distance in a homogenous Friedmann-Lema\^itre-Robertson-Walker (FLRW) model of the Universe.
Shchigolev, V. K.
core   +1 more source

An Approximate Analytical Solution of Sloshing Frequencies for a Liquid in Various Shape Aqueducts

open access: yes, 2014
An approximate analytical solution of sloshing frequencies for a liquid in the various shape aqueducts is formulated by using the Ritz method. The present approximate method is, respectively, applied to find the sloshing frequencies of the liquid in ...
Yu-Chun Li, Zhuang Wang
semanticscholar   +1 more source

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