Results 91 to 100 of about 52,350 (200)

MHD slip flow of chemically reacting UCM fluid through a dilating channel with heat source/sink

Nonlinear Engineering, 2019
The present article explores the effects of uniform heat source and first order destructive chemical reaction on an upper convected Maxwell fluid through an expanding or contracting channel with the porous slip condition at the upper plate. It is assumed
Pravin Kashyap K., Ojjela Odelu, Das Samir Kumar   +2 more
doaj   +1 more source

Nonlinear Dynamics of a Spinning Shaft with Non-Constant Rotating Speed [PDF]

, 2016
Reported research on spinning shafts is mostly restricted to cases of constant rotational speed without examining the dynamics thatoccursduringtheir spin-up or spin-down operation.
Georgiades, Fotios
core  

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley   +1 more source

Numerical simulation of multilane traffic flow model based on exponential velocity-density function

Partial Differential Equations in Applied Mathematics
In this paper, we study a multilane traffic flow model incorporating the exponential velocity-density relationship, which yields a nonlinear first-order system of hyperbolic partial differential (PDEs) equations formulated as an initial-boundary value ...
Md Rasel Ahmed, Bitu Joydhar, Dr. Md. Laek Sazzad Andallah, Prokriti Biswas, Jannatul Ferdous   +4 more
doaj   +1 more source

Finite‐difference scheme for one problem of nonlinear optics

Mathematical Modelling and Analysis, 2008
We consider a mathematical model, which describes Q‐switching process. The finite difference scheme is developed for approximation of the given system of nonlinear PDEs.
Ingrida Laukaityte, Raimondas Čiegis
doaj   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

A toxin-mediated size-structured population model: Finite difference approximation and well-posedness

Mathematical Biosciences and Engineering, 2016
The question of the effects of environmental toxins on ecological communities is of great interest from both environmental and conservational points of view.
Qihua Huang, Hao Wang
doaj   +1 more source

Dual-shaped offset reflector antenna designs from solutions of the geometrical optics first-order partial differential equations [PDF]

In obtaining solutions to the first-order nonlinear partial differential equations (PDEs) for synthesizing offset dual-shaped reflectors, it is found that previously observed computational problems can be avoided if the integration of the PDEs is started
Galindo-Israel, V., Imbriale, W., Mittra, R., Shogen, K.   +3 more
core   +1 more source

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source