Results 1 to 10 of about 368,126 (210)

Sawi transformation for system of ordinary differential equations with application

Ain Shams Engineering Journal, 2021
The problem of motion of coupled harmonic oscillators can be modeled in the terms of system of ordinary differential equations (SODEs). In the present paper, authors used Sawi transformation for finding the solution of SODEs with application to determine
M. Higazy, Sudhanshu Aggarwal
doaj   +2 more sources

Solution of infinite system of ordinary differential equations and fractional hybrid differential equations via measure of noncompactness

Journal of Taibah University for Science, 2019
In this work, we use the notion of convex power condensing mapping under measure of noncompactness in locally convex spaces and establish some new coupled fixed point results.
Mian Bahadur Zada, Muhammad Sarwar, Hemant Kumar Nashine   +2 more
doaj   +2 more sources

A geometric setting for systems of ordinary differential equations [PDF]

, 2010
To a system of second order ordinary differential equations (SODE) one can assign a canonical nonlinear connection that describes the geometry of the system.
Bucataru, Ioan, Constantinescu, Oana, Dahl, Matias F.   +2 more
core   +2 more sources

An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations

Games, 2021
This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are
Alexander Arguchintsev, Vasilisa Poplevko   +1 more
doaj   +1 more source

Automated Linearization of a System of Nonlinear Ordinary Differential Equations [PDF]

International Journal of Electronics and Telecommunications, 2023
This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3.
Aigerim Mazakova, Sholpan Jomartova, Waldemar Wójcik, Talgat Mazakov, Gulzat Ziyatbekova   +4 more
doaj   +1 more source

Systems of Ordinary Differential Equations

, 2006
N. Magnitskii, S. V. Sidorov
semanticscholar   +3 more sources

Solitary and periodic wave solutions of (2+1)-dimensions of dispersive long wave equations on shallow waters

Journal of Ocean Engineering and Science, 2021
In this investigation, the (2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang (WZ) equations are studied by using symmetry analysis.
A.A. Gaber
doaj   +1 more source

Aboodh and Mahgoub Transform in Boundary Value Problems of System of Ordinary Differential Equations

International Journal of Advanced Research in Science, Communication and Technology, 2021
Integral transforms plays important role in solving differential equations and integral equations. In this paper we discuss application of Aboodh transform and Mahgoub transform in solving boundary value problem of system of ordinary differential ...
D. Patil
semanticscholar   +1 more source

Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems [PDF]

Journal of Computational Physics, 2022
In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers.
Alec J. Linot, J. Burby, Q. Tang, Prasanna Balaprakash, M. Graham, R. Maulik   +5 more
semanticscholar   +1 more source

Reasons for nonlinearity: globality and noncommutativity [PDF]

Компьютерные исследования и моделирование, 2009
A dynamic process modeled by ordinary differential equations is considered. If a nonautonomous system of ordinary differential equations has a general solution in a certain area, than the system can be simplified by nonautonomous substitution of ...
Gennadii Nikolaevich Yakovenko
doaj   +1 more source