Results 11 to 20 of about 36,652 (259)
Ordinary Differential Equations [PDF]
, 2021 AbstractIn this chapter, we discuss a first application of the time derivative operator constructed in the previous chapter. More precisely, we analyse well-posedness of ordinary differential equations and will at the same time provide a Hilbert space proof of the classical Picard–Lindelöf theorem (There are different notions for this theorem.
Christian Seifert +2 more
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Kernel Ordinary Differential Equations [PDF]
Journal of the American Statistical Association, 2021 Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations. We do not assume the functional forms in ODE to be known, or restrict them to be linear or additive, and we allow ...
Dai, Xiaowu, Li, Lexin
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Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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Exact Solutions of the Two-Dimensional Cattaneo Model Using Lie Symmetry Transformations
Discrete Dynamics in Nature and Society, 2021 In this article, symmetry technique is utilized to obtain new exact solutions of the Cattaneo equation. The infinitesimal symmetries, linear combinations of these symmetries, and corresponding similarity variables are determined, which lead to many exact
Khudija Bibi, Khalil Ahmad
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Stiff neural ordinary differential equations [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 Neural Ordinary Differential Equations (ODEs) are a promising approach to learn dynamical models from time-series data in science and engineering applications. This work aims at learning neural ODEs for stiff systems, which are usually raised from chemical kinetic modeling in chemical and biological systems.
Suyong Kim +4 more
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IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB
JUTI: Jurnal Ilmiah Teknologi Informasi, 2002 Ordinary Differential Equation (ODE) dan Delay Differential Equation (DDE) banyak digunakan untuk menerangkan kejadian-kejadian pada dunia nyata. ODE melibatkan derivatif yang dipengaruhi oleh penyelesaian waktu sekarang dari variabel-variabel yang tidak
Rully Soelaiman, Yudhi Purwananto
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Algorithms, 2022 Evolutionary approaches are widely applied in solving various types of problems. The paper considers the application of EvolODE and EvolODES approaches to the identification of dynamic systems.
Tatiana Karaseva, Eugene Semenkin
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Automorphisms of Ordinary Differential Equations [PDF]
Abstract and Applied Analysis, 2014 The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variables, and the order of derivatives.
Tryhuk, Václav, Chrastinová, Veronika
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Effective Capital in Upgraded Solow Macro-Model of Economic Growth
Вестник Российского экономического университета имени Г. В. Плеханова, 2022 The article studies the macro-economic theory of economic growth Solow in complicated case, when technical progress is materialized in capital. In this situation the production function depends on effective capital and labour resource.
A. Yu. Meerson, A. P. Chernyaev
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An ordinary differential equation-based solution path algorithm [PDF]
Journal of Nonparametric Statistics, 2011 Wu Y.
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