Results 11 to 20 of about 368,146 (227)
Structural identification with physics-informed neural ordinary differential equations
Journal of Sound and Vibration, 2021 Zhilu Lai +3 more
semanticscholar +3 more sources
, 2021 This paper is aimed at applying deep artificial neural networks for solving system of ordinary differential equations. We developed a vectorized algorithm and implemented using python code.
T. Dufera
semanticscholar +1 more source
Advances in Difference Equations, 2021 In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem +3 more
doaj +1 more source
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations [PDF]
Journal of Computational Physics, 2022 We construct quantum algorithms to compute the solution and/or physical observables of nonlinear ordinary differential equations (ODEs) and nonlinear Hamilton-Jacobi equations (HJE) via linear representations or exact mappings between nonlinear ODEs/HJE ...
Shi Jin, Nana Liu, Yue Yu
semanticscholar +1 more source
An implicit system of delay differential algebraic equations from hydrodynamics
Electronic Journal of Qualitative Theory of Differential Equations, 2023 Direct spring operated pressure relief valves connected to a constantly charged vessel and a downstream pipe have a complex dynamics. The vessel-valve subsystem is described with an autonomous system of ordinary differential equations, while the presence
Fanni Kádár, Gábor Stépán
doaj +1 more source
Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 2022 A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov +2 more
doaj +1 more source
New Solvable System of 2 First-Order Nonlinearly-Coupled Ordinary Differential Equations [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 In this short communication we introduce a rather simple autonomous system of 2 nonlinearly-coupled first-order Ordinary Differential Equations (ODEs), whose initial-values problem is explicitly solvable by algebraic operations.
Francesco Calogero, Farrin Payandeh
doaj +1 more source
On the SEE transform and systems of ordinary differential equations
Periodicals of Engineering and Natural Sciences (PEN), 2021 Integral transforms, have many applications in the various diciplines of natural science and engineering to solve the problems of springs, heat transfer, electronical and electrical networks, mixing problems, carbon dating problems, bending of beams ...
Eman Mansour +2 more
semanticscholar +1 more source
Mathematics, 2023 The system of ordinary differential equations has many uses in contemporary mathematics and engineering. Finding the numerical solution to a system of ordinary differential equations for any arbitrary interval is very appealing to researchers.
Muhammad Basit +4 more
doaj +1 more source
Haar wavelet matrices for the numerical solution of system of ordinary differential equations
Malaya Journal of Matematik, 2020 In this paper, the numerical solution of the system of ordinary differential equations by Haar wavelet method is presented. The interest is on solving the problem using the Haar wavelet basis due to its simplicity and efficiency in numerical ...
S. S. C., H. E
semanticscholar +1 more source