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Influence of uncertain coriolis parameter on wave solution of Korteweg-de Vries equation
This article examines the approximate solution of the Geophysical Korteweg-de Vries (GKdV) equation in a fuzzy environment. The Adomian decomposition...
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The Algorithm for the Construction of a Symbolic Family of Regulators for Nonlinear Discrete Control Systems with Two Small Parameters
In this paper, the stabilization problem for a discrete weakly nonlinear system with two small positive parameters and a quadratic quality criterion...
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Adaptive Fuzzy Control for Fractional-Order Networked Control Systems with Input Time Delay and Data Loss
This paper considers the adaptive fuzzy control of fractional-order nonlinear networked control systems subjected to network-induced input delay and...
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The Symbolic Description of Feedbacks in Nonlinear Control Problems with a Parameter Using Approximation Theory Methods
In this paper the algorithms for constructing parametric families of solutions for several classes of nonlinear dynamic problems on a finite time...
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An Effective Procedure for Solving Volterra Integro-Differential Equations
In this paper, accurate solutions close to the exact one are obtained successfully based on the homotopy perturbation method (HPM), Laplace...
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A Pell-Lucas approximation to solve the Abel equation of the second kind
In this paper, a collocation method based on the Pell-Lucas polynomials is presented for the numerical solution of the Abel equation of the second...
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On the Generalisation of \(\hbox {Pade}^{'}\) Approximation Approach for the Construction of p-Stable Hybrid Linear Multistep Methods
p-Stable hybrid linear multistep methods (HLMMs) have been a fascinating area of interest for the numerical solution of second order initial value...
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On Pade Approximants Series Solutions of MHD Flow Equations with Heat and Mass Transfer Due to a Point Sink
The objective is to revisitChandarki, Imran Singh, Brijbhan the problem pertaining to the similarity boundary layer equations governing magneto-fluid...
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MapleTM
Übersicht 23.1 Komplexe Zahlen mit MapleTM 23.2 Lösen von Gleichungen mit MapleTM 23.3 Elementare Vektor-Operationen mit MapleTM 23.4 Interpolation...
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Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section
AbstractA method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a...
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3 Discrete Time Interval of a Mechatronic Servo System
The servo controller of a mechatronic system consists of the reference input generator, the position control part, the velocity control part, the...
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Padé-type high-order absorbing boundary condition for a coupled hydrodynamic wave model with surface tension effect
This paper addresses the design and validation of High-Order Absorbing Boundary Conditions (HABC) of the Padé family on a Coupled Hydrodynamic Wave...
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Airfoil Collocation Method Employing a New Efficient Procedure for Solving System of Two Logarithmic Integro–Differential Equations
In this study, we present the airfoil collocation approach employing a new efficient procedure for approximating the solution of a system of two...
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Solving and Analysing Tumor–Immune Interaction Model by Generalized Differential Transformation Method
In this paper, a five-dimensional treatment model of a tumor–immune interaction system is considered. The main purpose of the study is to obtain the...
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Robust spectral treatment for time-fractional delay partial differential equations
Fractional delay differential equations (FDDEs) and time-fractional delay partial differential equations (TFDPDEs) are the focus of the present...
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INTRHYGUE: Simulations of Hyperbolic Binary Black-Hole Mergers
INTRHYGUE is a new research effort that aims at develo** complete gravitational-wave templates for the observation of intermediate mass-ratio and...
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Introduction to Neoclassical Theory of Composites
Brief review of main tenets of the neoclassical theory of composites is given. Several examples of its application are given, including...
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Computation of the inverse Mittag–Leffler function and its application to modeling ultraslow dynamics
The inverse Mittag–Leffler function has been used to model the logarithmic growth of the mean squared displacement in anomalous diffusion, the...
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Approximation
In this chapter, we study approximation of a function \(f\in C[a,\, b]\)...
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Egg 7: Determining Power Series for Functions Through ODEs
Now that we understand how to calculate power series for solutions of differential equations, we examine the question of whether we can use this...