Results 81 to 90 of about 3,812 (235)

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

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

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +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

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley   +1 more source

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li, Kaibo Shi, Yue Yu, Xiangkun Wang, Ming Zhu, Xiao Cai   +5 more
wiley   +1 more source

An intuitive method to calculate the utilization distribution of an animal from step‐selection analysis

Methods in Ecology and Evolution, EarlyView.
Abstract Step‐selection analysis (SSA) is a popular tool for estimating resource/habitat selection conditional on the local availability of conditions as determined by an animal's movement capacity. These models can be subsequently used to parameterize a movement model; however, most SSAs focus instead merely on interpreting the direction and magnitude
Natasha Ellison‐Neary, Seth Oppenheimer, Tobit Dehnen, Ben J. Hatchwell, Garrett M. Street   +4 more
wiley   +1 more source

Controllable Intrinsic Surface Pattern Generation Using Slime Mold Simulations

Computer Graphics Forum, EarlyView.
Abstract Surface‐based pattern simulations have proven valuable for texture design and scientific visualization, but existing methods face several limitations. Most simulations either target a narrow range of pattern types (e.g. spots, branching) or support a broad range of patterns at the cost of time‐consuming parameter tuning.
Jeffrey Layton, Faramarz Samavati, Adam Runions   +2 more
wiley   +1 more source

Exact Solutions of Nonlinear Partial Differential Equations by the Method of Group Foliation Reduction

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A novel symmetry method for finding exact solutions to nonlinear PDEs is illustrated by applying it to a semilinear reaction-diffusion equation in multi-dimensions.
Stephen C. Anco, Sajid Ali, Thomas Wolf
doaj   +1 more source

Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics

Computer Graphics Forum, EarlyView.
Abstract Linear reduced‐order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that allows the reduced mapping to vary dynamically in response to the evolving deformation state ...
Y. Tao, M. Chiaramonte, P. Fernandez
wiley   +1 more source