Results 41 to 50 of about 572,545 (279)

Shock wave theory for rupture of rubber [PDF]

open access: yes, 2004
This article presents a theory for the rupture of rubber. Unlike conventional cracks, ruptures in rubber travel faster than the speed of sound, and consist in two oblique shocks that meet at a point. Physical features of rubber needed for this phenomenon
Marder, M.
core   +1 more source

Approximate analytical solution of singularly perturbed boundary value problems in MAPLE

open access: yesAIMS Mathematics, 2020
In this paper, based on a new initial value method, an approximate analytical solution of singularly perturbed boundary value problems is obtained using a new and simple Maple program spivp.
Essam R. El-Zahar
doaj   +1 more source

Innermost stable circular orbits around magnetized rotating massive stars

open access: yes, 2010
In 1998, Shibata and Sasaki [Phys. Rev. D 58, 104011 (1998)] presented an approximate analytical formula for the radius of the innermost stable circular orbit (ISCO) of a neutral test particle around a massive, rotating and deformed source.
F. L. Dubeibe   +10 more
core   +1 more source

Approximate analytical solutions for some obstacle problems

open access: yesJournal of King Saud University - Science, 2021
Abstract The paper deals with the variational iteration method to obtain a semi-analytical solution to some obstacle problems. We will focus on applications of a contact problem for a deformed beam with an elastic obstacle. To validate the accuracy this approach,the obtained solution has been compared with the exact solution, in the case where it can
Mourad Chamekh   +2 more
openaire   +1 more source

An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

open access: yesDiscrete Dynamics in Nature and Society, 2019
This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the comparison of Figures and absolute error values, between approximate and numerical solutions, it is ...
U. Filobello-Nino   +7 more
doaj   +1 more source

Multi-Objective Optimization of Production Objectives Based on Surrogate Model

open access: yesApplied Sciences, 2020
The article addresses an approximate solution to the multi-objective optimization problem for a black-box function of a manufacturing system. We employ the surrogate of the discrete-event simulation model of a batch production system in an analytical ...
Zuzana Červeňanská   +4 more
doaj   +1 more source

Shock evolution in non-radiative supernova remnants

open access: yes, 2016
We present a new analytical approach to derive approximate solutions describing the shock evolution in non-radiative supernova remnants (SNRs). We focus on the study of the forward shock and contact discontinuity while application to the reverse shock is
Chevalier, Roger A., Tang, Xiaping
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

An Analytic Approximate Solution of the SIR Model

open access: yesApplied Mathematics, 2021
The SIR(D) epidemiological model is defined through a system of transcendental equations, not solvable by elementary functions. In the present paper those equations are successfully replaced by approximate ones, whose solutions are given explicitly in terms of elementary functions, originating, piece-wisely, from generalized logistic functions: they ...
openaire   +4 more sources

Approximate analytical solution of time-fractional vibration equation via reliable numerical algorithm

open access: yesAIMS Mathematics, 2022
With effective techniques like the homotopy perturbation approach and the Adomian decomposition method via the Yang transform, the time-fractional vibration equation's solution is found for large membranes. In Caputo's sense, the fractional derivative is
M. Mossa Al-Sawalha   +4 more
doaj   +1 more source

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