A new analytical technique for strongly nonlinear damped forced systems
Ain Shams Engineering Journal, 2015 Combining the general Struble’s technique and homotopy perturbation method, an analytical technique has been presented to determine approximate solutions of strongly nonlinear differential systems with severe damping effect in the presence of an external
Md. Abdur Razzak, Md. Helal Uddin Molla
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Uniform Asymptotic Approximation Method with Pöschl–Teller Potential
Universe, 2023 In this paper, we study analytical approximate solutions for second-order homogeneous differential equations with the existence of only two turning points (but without poles) by using the uniform asymptotic approximation (UAA) method. To be more concrete,
Rui Pan +6 more
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Quantifying non-Markovianity of continuous-variable Gaussian dynamical maps [PDF]
, 2011 We introduce a non-Markovianity measure for continuous-variable open quantum systems based on the idea put forward in H.-P. Breuer, that is, by quantifying the flow of information from the environment back to the open system.
Breuer, Heinz-Peter +4 more
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Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method) [PDF]
ITM Web of Conferences, 2019 We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions.
Lăpădat Marioara +2 more
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Exact and approximate symmetries for light propagation equations with higher order nonlinearity [PDF]
, 2010 For the first time exact analytical solutions to the eikonal equations in (1+1) dimensions with a refractive index being a saturated function of intensity are constructed.
Garcia, Martin E. +2 more
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Journal of Function Spaces, 2015 We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition.
A. Guezane-Lakoud +2 more
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Ain 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
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Approximate Solutions to the Binary Black Hole Initial Value Problem
, 2001 We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data solutions makes
Marronetti, Pedro
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Thermo-mechanical nonlinear vibration analysis of fluid-conveying structures subjected to different boundary conditions using Galerkin-Newton-Harmonic balancing method [PDF]
Journal of Applied and Computational Mechanics, 2017 The development of mathematical models for describing the dynamic behaviours of fluid conveying pipes, micro-pipes and nanotubes under the influence of some thermo-mechanical parameters results into nonlinear equations that are very difficult to solve ...
Gbeminiyi Sobamowo +2 more
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Applications of scalar attractor solutions to Cosmology [PDF]
, 2001 We develop a framework to study the phase space of a system consisting of a scalar field rolling down an arbitrary potential with varying slope and a background fluid, in a cosmological setting.
A. Albrecht +44 more
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