Results 61 to 70 of about 1,391,702 (218)

An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations

open access: yesIEEE Access, 2020
In the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order.
Izaz Ali   +5 more
doaj   +1 more source

An Analytical Approximation for the Excess Noise Factor of Avalanche Photodiodes with Dead Space [PDF]

open access: yes, 1999
Approximate analytical expressions are derived for the mean gain and the excess noise factor of avalanche photodiodes including the effect of dead space.
Chen, Zikuan   +2 more
core   +1 more source

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

Approximate Calculation and Feature Analysis of Electric Field in Space by Thunderclouds

open access: yesInternational Journal of Antennas and Propagation, 2021
The calculation of electric field in space excited by thunderclouds is an important basis for lightning warning and protection. In numerical calculation of the electromagnetic field, it is often necessary to perform multiple loop nesting calculations on ...
Lin Wang, Haojiang Wan, Yazhou Chen
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, 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

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

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