Results 51 to 60 of about 368,146 (227)
Heat Transfer Analysis for Stationary Boundary Layer Slip Flow of a Power-Law Fluid in a Darcy Porous Medium with Plate Suction/Injection. [PDF]
PLoS ONE, 2015 In this paper, we investigate the slip effects on the boundary layer flow and heat transfer characteristics of a power-law fluid past a porous flat plate embedded in the Darcy type porous medium.
Asim Aziz +3 more
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Adaptive Finite Element Solution of Multiscale PDE-ODE Systems
, 2014 We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equations coupled to a microscale model comprising a system of nonlinear ordinary ...
Carey, V. +6 more
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Reduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries [PDF]
, 2006 Lie group theory states that knowledge of a $m$-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by $m$ the number of equations. We apply this principle by finding some \emph{affine derivations} that
G. Bluman +5 more
core +8 more sources
Control and Trajectory Planning of an Autonomous Bicycle Robot
Computation, 2022 This paper addresses the modeling and the control of an autonomous bicycle robot where the reference point is the center of gravity. The controls are based on the wheel heading’s angular velocity and the steering’s angular velocity.
Masiala Mavungu
doaj +1 more source
The Differential Counting Polynomial [PDF]
, 2015 The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case.
Lange-Hegermann, Markus
core
On the algorithmic linearizability of nonlinear ordinary differential equations
Journal of symbolic computation, 2020 Solving nonlinear ordinary differential equations is one of the fundamental and practically important research challenges in mathematics. However, the problem of their algorithmic linearizability so far remained unsolved. In this contribution, we propose
D. Lyakhov, V. Gerdt, D. Michels
semanticscholar +1 more source
Oscillator representations and systems of ordinary differential equations [PDF]
Proceedings of the National Academy of Sciences, 2000 Using representation-theoretic methods, we determine the spectrum of the 2 × 2 system \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{equation*}
Parmeggiani A., Wakayama M.
openaire +4 more sources
, 2010 Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier +2 more
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Discrete Processes and Chaos in Systems of Ordinary Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2022 A method for constructing a one-dimensional discrete mapping describing a certain periodic process in a general system of ordinary autonomous differential equations is proposed.
Vasiliy Ye. Belozyorov +1 more
doaj +1 more source
A spectral-based numerical method for Kolmogorov equations in Hilbert spaces
, 2016 We propose a numerical solution for the solution of the Fokker-Planck-Kolmogorov (FPK) equations associated with stochastic partial differential equations in Hilbert spaces.
Delgado-Vences, Francisco J. +1 more
core +1 more source