Results 21 to 30 of about 368,146 (227)
Critical Transitions in Piecewise Uniformly Continuous Concave Quadratic Ordinary Differential Equations [PDF]
Journal of Dynamics and Differential Equations, 2021 A critical transition for a system modelled by a concave quadratic scalar ordinary differential equation occurs when a small variation of the coefficients changes dramatically the dynamics, from the existence of an attractor–repeller pair of hyperbolic ...
Iacopo P. Longo, C. N'unez, R. Obaya
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper, we consider non-autonomous system of ordinary differential equations. For a given non-autonomous system, we introduce the distribution probability-density function of representative points of the ensemble of Gibbs, possessing all the ...
Gennady A Rudykh, Daria J Kiselevich
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Partial Differential Equations in Applied Mathematics, 2021 The significance of viscosity and thermal conductivity variation parameters on the dynamics of Newtonian fluid conveying tiny particles over a convectively heated surface is examined.
O.A. Famakinwa +3 more
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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On a linear system of differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
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Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, modification of Dzhumabaev parameterization method is developed to a boundary value problem for systems of loaded differential equations with piecewise constant argument of generalized type (EPCAG).
E. Bakirova +2 more
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ChemNODE: A Neural Ordinary Differential Equations Framework for Efficient Chemical Kinetic Solvers [PDF]
Energy and AI, 2020 Solving for detailed chemical kinetics remains one of the major bottlenecks for computational fluid dynamics simulations of reacting flows using a finite-rate-chemistry approach. This has motivated the use of fully connected artificial neural networks to
Opeoluwa Owoyele, P. Pal
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Model of the telegraph line and its numerical solution [PDF]
, 2018 This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the
Nečasová, Gabriela +2 more
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Case Studies in Thermal Engineering, 2021 In the presence of suction/injection, a mathematical formulation for laminar boundary layer flow and heat transfer of an incompressible viscous fluid along an expandable-stretching horizontal cylinder is provided.
Mohamed Fathy, K.M. Abdelgaber
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Spectral theory for systems of ordinary differential equations with distributional coefficients [PDF]
Journal of Differential Equations, 2018 We study the spectral theory for the first-order system $Ju'+qu=wf$ of differential equations on the real interval $(a,b)$ when $J$ is a constant, invertible skew-Hermitian matrix and $q$ and $w$ are matrices whose entries are distributions of order zero
Ahmed Ghatasheh, R. Weikard
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