An asymptotic approach to inverse scattering problems on weakly nonlinear elastic rods
Journal of Applied Mathematics, Volume 2, Issue 8, Page 407-435, 2002., 2002 Elastic wave propagation in weakly nonlinear elastic rods is considered in the time domain. The method of wave splitting is employed to formulate a standard scattering problem, forming the mathematical basis for both direct and inverse problems. A quasi‐linear version of the Wendroff scheme (FDTD) is used to solve the direct problem.
Shinuk Kim, Kevin L. Kreider
wiley +1 more source
A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
, 2002 In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M. +2 more
core +1 more source
Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
Open Physics, 2016 The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
doaj +1 more source
Penalty approximation for non smooth constraints in vibroimpact [PDF]
, 2000 We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is not at the vertex, then, the limit of the approximation exists and is ...
Paoli, Laetitia, Schatzman, Michelle
core +2 more sources
Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
doaj +1 more source
Optimal sensors placement in dynamic damage detection of beams using a statistical approach [PDF]
, 2020 Structural monitoring plays a central role in civil engineering; in particular, optimal sensor positioning is essential for correct monitoring both in terms of usable data and for optimizing the cost of the setup sensors.
Lofrano E. +3 more
core +1 more source
Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
doaj +1 more source
Existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition [PDF]
, 2014 In this paper, we study the existence and uniqueness of solution of inhomogeneous semilinear evolution equation with nonlocal condition in cone metric space.
More, R. T., Tidke, Haribhau Laxman
core +1 more source
Efecto de la hormona Folículo-estimulante administrada vía epidural, sobre la respuesta ovárica y el perfil hormonal en vacas Holstein [PDF]
, 2023 El estudio se realizó en vacas Holstein mestizas, criadas en el trópico alto del Ecuador. Se determinó el efecto de la administración de hormona Folículo-estimulante (FSH), vía epidural en dosis única, sobre la respuesta ovárica, el número de estructuras
Andrés Santiago Jácome-Aucay +5 more
core +2 more sources
A solution of the fractional differential equations in the setting of $b$-metric space [PDF]
, 2021 In this paper, we study the existence of solutions for the following differential equations by using a fixed point theorems \[ \begin{cases} D^{\mu}_{c}w(\varsigma)\pm D^{\nu}_{c}w(\varsigma)=h(\varsigma,w(\varsigma)),& \varsigma\in J ...
E. Karapinar, H. Afshari
core +2 more sources