Solving Generalized Heat and Generalized Laplace Equations Using Fractional Fourier Transform
Fractal and Fractional, 2023 In the present work, the main objective is to find the solution of the generalized heat and generalized Laplace equations using the fractional Fourier transform, which is a general form of the solution of the heat equation and Laplace equation using the ...
Sri Sulasteri +4 more
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A Novel Security Key Generation Method for SRAM PUF Based on Fourier Analysis
IEEE Access, 2018 Most of the current security key generation schemes for static random access memory physical unclonable function (SRAM PUF) are based on a fuzzy extractor.
Wenchao Liu +5 more
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A generalized Fourier–Hermite method for the Vlasov–Poisson system [PDF]
BIT Numerical Mathematics, 2021 AbstractA generalized Fourier–Hermite semi-discretization for the Vlasov–Poisson equation is introduced. The formulation of the method includes as special cases the symmetrically-weighted and asymmetrically-weighted Fourier–Hermite methods from the literature.
Katharina Kormann, Anna Yurova
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Investigation of the Stress Strain State of the Layer with a Longitudinal Cylindrical Thick-Walled Tube and the Displacements Given at the Boundaries of the Layer [PDF]
Journal of Mechanical Engineering, 2019 This paper proposes an analytical-numerical approach to solving the spatial prob-lem of the theory of elasticity for the layer with a circular cylindrical tube.
Vitaliy Yu. Miroshnikov
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Computation, 2022 The design of parts of machines, mechanisms, structures and foundations, particularly in the aerospace industry, is closely related to the definition of the stress state of the body.
Vitaly Miroshnikov +3 more
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Investigation of the Stress State of a Composite in the Form of a Layer and a Half Space with a Longitudinal Cylindrical Cavity at Stresses Given on Boundary Surfaces [PDF]
Journal of Mechanical Engineering, 2019 An analytical-numerical approach to solving the spatial problem of the theory of elasticity for a half-space rigidly coupled to a layer is proposed. In the half-space, parallel to its boundaries, there is an infinite circular cylindrical cavity. Both the
Vitalii Yu. Miroshnikov
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Fourier methods for harmonic scalar waves in general waveguides [PDF]
Journal of Engineering Mathematics, 2015 A set of semi-analytical techniques based on Fourier analysis is used to solve wave scattering problems in variously shaped waveguides with varying normal admittance boundary conditions. Key components are newly developed conformal mapping methods, wave splitting, Fourier series expansions in eigen-functions to non-normal operators, the building block ...
Andersson, Anders +2 more
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Fourier analysis of multigrid methods for general systems of PDEs [PDF]
Mathematics of Computation, 1993 Most iteration methods for solving boundary value problems can be viewed as approximations of a time-dependent differential equation. In this paper we show that the multigrid method has the effect of increasing the time-step for the smooth part of the solution leading back to an increase of the convergence rate.
Lötstedt, Per, Gustafsson, Bertil
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Frequency analysis of extreme daily rainfall over an arid zone of Iran using Fourier series method
Applied Water Science, 2022 In this paper frequency analysis of annual extreme daily rainfall of 14 gauging stations located in an arid zone of Iran were performed using parametric and nonparametric approaches.
Parviz Haghighat jou +1 more
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Sensors, 2021 In this paper, we use Frame Theory to develop a generalized OCT image reconstruction method using redundant and non-uniformly spaced frequency domain samples that includes using non-redundant and uniformly spaced samples as special cases. We also correct
Karim Nagib +4 more
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