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Integrability of the Zakharov-Shabat Systems by Quadrature
We consider the general two-dimensional Zakharov-Shabat systems , which appear in application of the inverse scattering transform (IST) to an...
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Stability analysis of embedded axially functionally graded nanotubes containing flow with spinning motion under an axial load based on generalized differential quadrature method
In the present study, the dynamics of Y-shaped axially functionally graded nanoscale tubes transmitting flow with spinning motion in hygro-magnetic...
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Coupled free vibration analysis of functionally graded shaft-disk system by differential quadrature finite element method
The purpose of this paper is to investigate coupling vibration characteristics of the flexible functionally graded material (FGM) shaft-disk coupling...
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Simulation of activator–inhibitor dynamics based on cross-diffusion Brusselator reaction–diffusion system via a differential quadrature-radial point interpolation method (DQ-RPIM) technique
The current paper proposes an efficient numerical procedure for solving the two-dimensional Brusselator reaction–diffusion system. First, the time...
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Pre-calibration and compensation of quadrature components in continuous-variable quantum key distribution
Quantum key distribution (QKD) can guarantee the security of key distribution through the basic principles of quantum mechanics. The theoretical...
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A linear B-spline interpolation/Galerkin finite element method for the two-dimensional Riesz space distributed-order diffusion-wave equation with error analysis
This paper focuses on the distributed-order time-fractional diffusion-wave equations with the Riesz space fractional derivatives. A combined method...
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Generalized Pohlhausen integral method
Approximate methods constitute an important class of analytic methods to calculate boundary-layer flows. The last few decades have observed...
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An Approximate Method for Recovering Input Signals of Measurement Transducers
We consider the problems of information-measuring equipment, modeled by ordinary differential equations, when some physical variable cannot be...
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Application of Newton-GS Iterative Method with Second-Order Quadrature Scheme in Solving Nonlinear Fredholm Integral Equations
In this study, we discuss the application of Newton-GS iterative method with quadrature schemesQuadrature scheme in solving nonlinear Fredholm...
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The Method of Discrete Ordinates: The SN Method
Unlike analytical methods, such as the spherical harmonics method, the essential basis of the...
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Fractional quadrature oscillator using VDTAs with grounded capacitors
In this proposed work, the fractional order quadrature oscillator using voltage differencing trans-conductance amplifier (VDTA) as an active building...
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Application of Adaptive Radial Basis Function Method in Concrete with Cooling Water Pipe
AbstractThis article proposes the utilization of an adaptive local radial basis function (LRBF) method for simulating the temperature field in...
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Fundamentals of Lattice Boltzmann Method
Different from the traditional computational fluid dynamics based on the macroscopic Navier–Stokes equations, the lattice Boltzmann method (LBM),...
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A Comparative Study of Cubic B-spline-Based Quasi-interpolation and Differential Quadrature Methods for Solving Fourth-Order Parabolic PDEs
In this work, we present two approaches for simulation of fourth-order parabolic partial differential equations. In the first method, cubic B-spline...
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Integration-by-parts identities and differential equations for parametrised Feynman integrals
Integration-by-parts (IBP) identities and differential equations are the primary modern tools for the evaluation of high-order Feynman integrals....
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Optical solitons for dispersive concatenation model with Kerr law nonlinearity by the complete discriminant method
This paper is about the retrieval of optical solitons for the dispersive concatenation model with Kerr law nonlinearity by the complete discriminant...
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An efficient numerical method to solve the problems of 2D incompressible nonlinear elasticity
Presented herein is a numerical variational approach to the two-dimensional (2D) incompressible nonlinear elasticity. The governing equations are...
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Integration of the two-dimensional Heisenberg model by methods of differential geometry
AbstractThe methods of classical differential geometry are used to integrate the two-dimensional Heisenberg model. After the hodograph...
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A fully differential SMEFT analysis of the golden channel using the method of moments
The Method of Moments is a powerful framework to disentangle the relative contributions of amplitudes of a specific process to its various phase...
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Differential scattering in proton collisions with molecular hydrogen
AbstractThe recently developed two-centre wave-packet convergent close-coupling approach to proton collisions with molecular hydrogen is applied to...
