Results 81 to 90 of about 370 (174)
Chengshi guidao jiaotong yanjiu［Objective］ With the increase of train operating speed, noise levels have gradually become a critical factor restricting the development of high-speed railways.
YU Yongge +5 more
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Journal of Applied Mathematics, 2015 The pantograph equation is a special type of functional differential equations with proportional delay. The present study introduces a compound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay ...
M. Mustafa Bahşi, Mehmet Çevik
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Mathematical and Computer Modelling of Dynamical SystemsThis study investigates the theoretical and practical challenges in solving nonlinear pantograph integro-differential equations of fractional order on arbitrary time scales.
Kottakkaran Sooppy Nisar +3 more
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Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications
Abstract and Applied Analysis, 2013 This paper introduces Fourier operational matrices of differentiation and transmission for solving high-order linear differential and difference equations with constant coefficients.
F. Toutounian, Emran Tohidi, A. Kilicman
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Study on aerodynamic drag and noise reduction of high-speed pantograph with streamwise holes
Engineering Applications of Computational Fluid MechanicsExploring 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
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Pantograph System with Mixed Riemann-Liouville and Caputo-Hadamard Sequential~ Fractional Derivatives: Existence and Ulam-Stability [PDF]
Mathematics Interdisciplinary ResearchThe 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 +2 more
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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 +2 more
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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 +3 more
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MathematicsIn 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 +3 more
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Partial Differential Equations in Applied MathematicsIn 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
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