Results 51 to 60 of about 570,809 (200)

Radial propagation in population dynamics with density-dependent diffusion

open access: yes, 2013
The population dynamics that evolves in the radial symmetric geometry is investigated. The nonlinear reaction-diffusion model, which depends on population density, is employed as the governing equation for this system. The approximate analytical solution
Ngamsaad, Waipot
core   +1 more source

Coalescence in the 1D Cahn-Hilliard model [PDF]

open access: yes, 2003
We present an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition. We have identified all the intermediate profiles, stationary solutions of the noiseless Cahn-Hilliard equation ...
Abramowitz M   +17 more
core   +4 more sources

Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters

open access: yesPhysical Review X, 2021
We present a statistical approximate solution of the bound, nonhierarchical three-body problem, and extend it to a general analysis of encounters between hard binary systems and single stars.
Yonadav Barry Ginat, Hagai B. Perets
doaj   +1 more source

Approximate Analytical Solution of Fractional Lane-Emden Equation by Mittag-Leffler Function Method

open access: yesJournal of Nigerian Society of Physical Sciences, 2022
The classical Lane-Emden differential equation, a nonlinear second-order differential equation, models the structure of an isothermal gas sphere in equilibrium under its own gravitation.
Richard Olu Awonusika   +1 more
doaj   +1 more source

Analytical-approximate solution of Abel integral equations [PDF]

open access: yes, 2011
It is known that Abel integral equation has a solution in a closed form, with a removable singularity.The presence of Volterra integrals with weak singularity is not always integrable for continuous differentiable class of functions.In this work we ...
Eshkuratov, Zainidin K.   +2 more
core  

Solutions modeling of nonlinear equation of diffusion for three dimensions case

open access: yesLietuvos Matematikos Rinkinys, 2014
We have made a practical consideration of an important case of nonlinear diffusion of impurities in a three-dimensional case through square window in the x, y plane for the production of electronic devices and evaluation of its parameters.
Sigita Turskienė   +1 more
doaj   +1 more source

ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM) [PDF]

open access: yesMatrix Science Mathematic, 2019
In this article, we want to find the analytic approximate solution of nonlinear problems by using Homotopy Perturbation Method. Using the Homotopy Perturbation Method once we express the nonlinear problem into infinite number of sub linear problems and ...
Ihtisham ul Haq
doaj   +1 more source

Multi-step fractional differential transform method for the solution of fractional order stiff systems☆

open access: yesAin Shams Engineering Journal, 2021
In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense.
Hytham.A. Alkresheh, Ahmad Izani Ismail
doaj   +1 more source

Approximate solutions for the single soliton in a Skyrmion-type model with a dilaton scalar field

open access: yes, 2005
We consider the analytical properties of the single-soliton solution in a Skyrmion-type Lagrangian that incorporates the scaling properties of quantum chromodynamics (QCD) through the coupling of the chiral field to a scalar field interpreted as a bound ...
C. A. García Canal   +3 more
core   +1 more source

A universal asymptotic regime in the hyperbolic nonlinear Schr\"odinger equation [PDF]

open access: yes, 2016
The appearance of a fundamental long-time asymptotic regime in the two space one time dimensional hyperbolic nonlinear Schr\"odinger (HNLS) equation is discussed.
Ablowitz, Mark J.   +2 more
core   +2 more sources

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