The Telegraph Equation and Its Solution by Reduced Differential Transform Method by Vineet K. Srivastava, Mukesh K. Awasthi, R. K. Chaurasia, M. Tamsir

“…Using this method, it is possible to find the exact solution or a closed approximate solution of a differential equation. Three numerical examples have been carried out in order to check the effectiveness, the accuracy, and convergence of the method. …”
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BSDE with Jumps When Mean Reflection Is Nonlinear by Winfrida Felix Mwigilwa, Farai Julius Mhlanga

“…In this paper, we investigate a reflected backward stochastic differential equation (RBSDE) with jumps, focusing on cases where the mean reflection is nonlinear. …”
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Finiteness of rank for Grassmann convexity by Saldanha, Nicolau, Shapiro, Boris, Shapiro, Michael

“…The Grassmann convexity conjecture, formulated in [8], gives a conjectural formula for the maximal total number of real zeroes of the consecutive Wronskians of an arbitrary fundamental solution to a disconjugate linear ordinary differential equation with real time. The conjecture can be reformulated in terms of convex curves in the nilpotent lower triangular group. …”
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The Role of Numerical Methods in the Sensitivity Analysis of a Density Parameter in a Passivation Rate Interaction by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interaction in the framework of industrial and environmental physics which relies on an initial value problem is defined by a first order ordinary differential equation. Two numerical methods of studying sensitivity analysis of physiochemical interaction data are developed. …”
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A Simple Distributed RGC Model of MOSFET for Pre-Pinch Off Region by Umesh Kumar, Arun Mirchandani

“…The differential equation describing the small signal behavior of a MOSFET channel is derived. …”
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Basic Properties of Incomplete Macdonald Function with Applications by Jian-Jun Shu, Kunal Krishnaraj Shastri

“…This paper also shows that the incomplete Macdonald function, as a simple closed-form expression, is a particular solution to a parabolic partial differential equation, which arises naturally in a wide variety of transient and diffusion-related phenomena.…”
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Sensitivity Analysis of a Physiochemical Interaction Model Undergoing Changes in the Initial Condition and Duration of Experiment Time by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interactions in the framework of industrial and environmental physics usually relies on an initial value problem which is described by a single first order ordinary differential equation. In this analysis, we will study the sensitivity analysis due to a variation of the initial condition and experimental time. …”
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Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions by Zaid Laadjal, Qasem M. Al-Mdallal, Fahd Jarad

“…In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by new type of nonlocal and nonseparated boundary conditions consisting of fractional integrals and derivatives. …”
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Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions by Jiaquan Xie, Yongjiang Zheng, Zhongkai Ren, Tao Wang, Guangxian Shen

“…In practice, due to the fact that the phenomenon of drawing self-excited vibration can be deemed as one of the hunting phenomena of the mechanical system, this study focuses on investigating the drawing self-excited vibration process through proposing the fractional differential equation model of hunting phenomenon of the mechanical system. …”
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Perihelion Precessions of Inner Planets in Einstein’s Theory and Predicted Values for the Cosmological Constant by Alvaro H. Salas S, Jairo E Castillo H, Lorenzo J. Martınez H

“…In this paper, we obtain the approximate value of 42.9815 arcsec/century for Mercury’s perihelion precession by solving both numerically and analytically the nonlinear ordinary differential equation derived from the geodesic equation in Einstein’s Theory of Relativity. …”
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Stochastic Periodic Solution and Persistence of a Nonautonomous Impulsive System with Nonlinear Self-Interaction by Weili Kong, Yuanfu Shao

“…Secondly, by comparison theory of the stochastic differential equation, we study the extinction and permanence in the mean of all species. …”
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Vaclovas Bliznikas (1930–1997) – creator of Lithuanian geometers' school by Juozas Banionis

“…The main academic research activity embraced trends of modern geometry, theory of geometrical objects, geometry of differential equation, theory of non-holonomicity ma­nifolds, geometry of supporting elements. …”
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Analysis of the Electromechanical Coupling Vibration of Belt Drive Mechanism when the Motor Starting by Li Gaofeng

“…Taking the differential equation of the electromechanical coupling and bending and torsion nonlinear vibration of the belt drive mechanism which establishing according to the Lagrange- Maxwell equation as research object,by using the Runge Kutta method,the nonlinear characteristic of the electromechanical coupling system and the vibration characteristic in the state of the motor starting are analyzed,the phase diagram,time response,frequency spectrum and the axis trajectory are obtained. …”
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Sensitivity Analysis of a Physiochemical Interaction Model Undergoing Changes in the Initial Condition and Duration of Experiment Time by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interactions in the framework of industrial and environmental physics usually relies on an initial value problem which is described by a single first order ordinary differential equation. In this analysis, we will study the sensitivity analysis due to a variation of the initial condition and experimental time. …”
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Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions by Hamid Khan, S. Islam, Javed Ali, Inayat Ali Shah

“…We investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ur(r,z,t)=(1/r)(∂ψ/∂z) and uz(r,z,t)=−(1/r)(∂ψ/∂r) and a transformation ψ(r,z)=r2F(z). …”
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Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity by K. S. Al-Ghafri

“…Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) which has a variety of solutions. …”
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Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates by Saeed Dinarvand, Abed Moradi

“…The governing nonlinear equations and their associated boundary conditions are transformed into a highly non-linear ordinary differential equation. The series solution of the problem is obtained by utilizing the homotopy perturbation method (HPM). …”
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Identification of a Stochastic Dynamic Model for Aircraft Flight Attitude Based on Measured Data by Haiquan Li, Xiaoqian Chen, Jiatu Zhang, Bochen Wang, Jiahui Peng, Liang Wang

“…Therefore, a stochastic differential equation for aircraft flight attitude is modeled based on the traditional one in this paper. …”
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Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty by Xisheng Dai, Senping Tian, Wenguang Luo, Yajun Guo

“…Finally, by using the forward difference scheme of partial differential equation to solve the problems, the simulation results are presented to illustrate the feasibility of the algorithm.…”
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Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input by Bing Liu, Ling Xu, Baolin Kang

“…By using pollution model and impulsive delay differential equation, we formulate a pest control model with stage structure for natural enemy in a polluted environment by introducing a constant periodic pollutant input and killing pest at different fixed moments and investigate the dynamics of such a system. …”
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