Results 11 to 20 of about 493,106 (301)

A finite differences MATLAB code for the numerical solution of second order singular perturbation problems

Journal of Computational and Applied Mathematics, 2012
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AMODIO, Pierluigi, SETTANNI, GIUSEPPINA
openaire   +4 more sources

Analytical study of the vibrating double-sided quintic nonlinear nano-torsional actuator using higher-order Hamiltonian approach

Journal of Low Frequency Noise, Vibration and Active Control, 2022
In this work, we investigate and apply higher-order Hamiltonian approach (HA) as one of the novelty techniques to find out the approximate analytical solution for vibrating double-sided quintic nonlinear nano-torsional actuator.
Gamal Mohamed Ismail, Mahmoud Abul-Ez, Hijaz Ahmad, Nadia Mohamed Farea   +3 more
doaj   +1 more source

Renormalization Group Approach to Cosmological Back Reaction Problems [PDF]

, 2000
We investigated the back reaction of cosmological perturbations on the evolution of the universe using the second order perturbation of the Einstein's equation.
D. Boyanovsky, D. Boyanovsky, H. Kodama, H. Russ, J. P. Boersma, K. Tomita, L. R. Abramo, L. R. Abramo, L.-Y. Chen, M. Kasai, R. A. Issacson, S. Goto, S. I. Ei, S. Sasa, T. Futamase, T. Futamase, T. Kunihiro, V. F. Mukhanov, V. M. Mukhanov, Y. Nambu, Y. Nambu, Yasusada Nambu   +21 more
core   +3 more sources

Anti-BRST in the Causal Approach

Universe, 2021
It is known that the elimination of anomalies in all orders of perturbation theory is an open problem. The constraints given by usual invariance properties and the Wess–Zumino identities are not enough to eliminate the anomalies in the general case of a ...
Dan-Radu Grigore
doaj   +1 more source

Second-harmonic generation in absorptive media [PDF]

, 1994
The solution of the coupled-wave equations for second-harmonic generation in a near-resonant three-level system is extended to include absorption. It is shown, within second-order perturbation theory, that double resonance is the optimal conversion ...
Almogy, Gilad, Yariv, Amnon
core   +1 more source

Full waveform investigation of a perturbation method for acoustical multipole logging in transversely isotropic medium

AIP Advances, 2014
A new and effective analytical perturbation method is presented for the multipole acoustic logging in a transversely isotropic medium (TIM), whose symmetric principal axis is parallel to the borehole axis and the exact solutions could be found.
L. Zhang, K. X. Wang, B. X. Zhang, X. T. Wang   +3 more
doaj   +1 more source

Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

Nonlinear Analysis, 2021
In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach ...
Jin You, Zhenlai Han
doaj   +1 more source

Analytical and Approximate Solution for Solving the Vibration String Equation with a Fractional Derivative

Mathematics, 2020
This paper is proposed for solving a partial differential equation of second order with a fractional derivative with respect to time (the vibration string equation), where the fractional derivative order is in the range from zero to two.
Temirkhan S. Aleroev, Asmaa M. Elsayed
doaj   +1 more source

The role of long waves in the stability of the plane wake [PDF]

, 2010
This work is directed towards investigating the fate of three-dimensional long perturbation waves in a plane incompressible wake. The analysis is posed as an initial-value problem in space.
Daniela Tordella, G. I. Barenblatt, P. J. Schmid, Stefania Scarsoglio, W. O. Criminale, W. O. Criminale, William O. Criminale   +6 more
core   +2 more sources

Application of Perturbation Theory to a Master Equation

Advances in Mathematical Physics, 2016
We develop a matrix perturbation method for the Lindblad master equation. The first- and second-order corrections are obtained and the method is generalized for higher orders.
B. M. Villegas-Martínez, F. Soto-Eguibar, H. M. Moya-Cessa   +2 more
doaj   +1 more source