Results 91 to 100 of about 369 (174)

Numerical Approach for Solving Fractional Pantograph Equation

International Journal of Computer Applications, 2015
this article, we have investigate a Taylor collocation method, which is based on collocation method for solving fractional pantograph equation. This method is based on first taking the truncated fractional Taylor expansions of the solution function in the mathematical model and then substituting their matrix forms into the equation.
Mustafa Gülsu, Yalçin Öztürk, Ayse Anapali   +2 more
openaire   +1 more source

Study on aerodynamic drag and noise reduction of high-speed pantograph with streamwise holes

Engineering Applications of Computational Fluid Mechanics
Exploring ways to minimize drag and noise for high speed train pantographs is critical. This study investigates the effects of incorporating holes in the panhead as a potential solution for reducing drag and noise. Using an improved delayed detached eddy
Tian Li, Deng Qin, Xiang Kan, Jiye Zhang
doaj   +1 more source

Pantograph System with Mixed Riemann-Liouville and‎ ‎Caputo-Hadamard‎ ‎Sequential~‎ ‎Fractional Derivatives‎: ‎Existence and Ulam-Stability [PDF]

Mathematics Interdisciplinary Research
‎The pantograph equation improves the mathematical model of the system includes modeling the motion of the wire connected with the dynamics of the supports and modeling the dynamics of the pantograph‎. ‎The subject of this paper is the existence and Ulam
Abdul Hamid Ganie, Mohamed Houas, Mohammad Esmael Samei   +2 more
doaj   +1 more source

Pantograph Multiple Rigid-body Dynamics Model and Its VerificationBased on Relative Coordinate System

机车电传动, 2016
Pantograph frame multiple rigid-body dynamics model with R/W equation based on relative coordinate system was built,and the motion differential equations and constraint equations were derived. Based on Lagrangian Multiplier Method and constraintviolation
WANG Jiangwen, MEI Guiming, LI Ruiping, ZHANG Weihua   +3 more
doaj  

Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

Mathematics
In this paper, we study the initial value problem for the fractional differential equation with multiple deviating arguments. By using Krasnoselskii’s fixed point theorem, the conditions of solvability of the problem are obtained.
Natalia Dilna, Gusztáv Fekete, Martina Langerová, Balázs Tóth   +3 more
doaj   +1 more source

Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations

Partial Differential Equations in Applied Mathematics
In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving n Caputo and one Riemann–Liouville q−fractional derivatives.
Mohamed Houas, Mohammad Esmael Samei
doaj   +1 more source

Study on near-field aerodynamic noise in the upper region of a full-size, full- formation subway train on open line based on the acoustic fluctuation equation

Engineering Applications of Computational Fluid Mechanics
With the rapid development of urbanisation and regional economic zones, higher operational speeds (up to 200 km/h) are required for subway trains. This paper constructs a near-field noise model for a full-scale subway train operating at 200 km/h on an ...
Cun-Rui Xiang, Xiao-Ming Tan, Zi-Xi Long, Xiao-Hong Zhang, Yu-Cai Wu, Xu-Long He, Yuan-Sheng Chen   +6 more
doaj   +1 more source

Modelling and Analysis of Expansion Joints' Effect on Dynamic Performance of Railway Rigid Overhead System. [PDF]

Sensors (Basel), 2023
Feng X, Hu Z, Gao S, Duan F, Chu W, Song Y.   +5 more
europepmc   +1 more source

Numerical solution of neutral delay differential equations using orthogonal neural network. [PDF]

Sci Rep, 2023
Vinodbhai CD, Dubey S.
europepmc   +1 more source

Pantograph Detection Algorithm with Complex Background and External Disturbances. [PDF]

Sensors (Basel), 2022
Tan P, Cui Z, Lv W, Li X, Ding J, Huang C, Ma J, Fang Y.   +7 more
europepmc   +1 more source