Results 71 to 80 of about 368,146 (227)
Reduction of Order for Systems of Ordinary Differential Equations [PDF]
Journal of Nonlinear Mathematical Physics, 2004 This article is devoted to the reduction of ODE systems using solvable symmetry algebras. The result is given by the following theorem: If a first-order linear homogeneous PDE with \(n\) variables \(A(f)= 0\) admits a solvable symmetry algebra \(L_{n-1}\) for which the generators and the differential operator \(A\) are unconnected, then the integration
Wafo Soh, C., Mohamed, F. M.
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Mean field theory of assortative networks of phase oscillators
, 2014 Employing the Kuramoto model as an illustrative example, we show how the use of the mean field approximation can be applied to large networks of phase oscillators with assortativity. We then use the ansatz of Ott and Antonsen [Chaos 19, 037113 (2008)] to
Ott, Edward, Restrepo, Juan G.
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Abstract and Applied Analysis, 2013 Since the collocation method approximates ordinary differential equations, partial differential equations, and integral equations in physical space, it is very easy to implement and adapt to various problems, including variable coefficient and nonlinear ...
A. H. Bhrawy +2 more
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مجلة بغداد للعلوم, 2010 The aim of this paper is to approximate the solution of the parabolic partial differential equations (heat equations) using Bellman's method with the cooperation of the G-spline interpolation formula.
Osama H. Mohammed
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Minimal Noise-Induced Stabilization of One-Dimensional Diffusions [PDF]
, 2017 The phenomenon of noise-induced stabilization occurs when an unstable deterministic system of ordinary differential equations is stabilized by the addition of randomness into the system. In this paper, we investigate under what conditions one-dimensional,
Allen, Tony +3 more
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Advances in Differential Equations, 2018 This paper develops a Legendre neural network method (LNN) for solving linear and nonlinear ordinary differential equations (ODEs), system of ordinary differential equations (SODEs), as well as classic Emden–Fowler equations.
Yunlei Yang, Muzhou Hou, Jianshu Luo
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Affine connection adjoined to web W(1, n, 1)
Научный вестник МГТУ ГА, 2016 The 3-web and the system of differential equations are adjoined with an associated affine torsion-free connection (the so called canonical connection of an ordinary differential equations’ system).
A. A. Duyunova
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Systems of ordinary linear integrodifferential equations [PDF]
Applications of Mathematics, 1959 Transient phenomena of linear physical systems (electrical, mechanical, acoustical circuits) furnish often systems of ordinary linear integro-differential equations which are not easy to solve. The existing techniques of solutions of such systems often refer to Laplace transforms.
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Mixed Order Systems of Ordinary Linear Differential Equations
Rocky Mountain Journal of Mathematics, 2006 The paper deals with systems of higher mixed order differential equations and respective boundary value problems. The possibility of eigenfunction expansions is discussed. The attention is focused on the case when systems have constant coefficients and are equivalent to first order systems. Two problems are treated in particular.
Koné, Siaka, Móller, Manfred
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