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Chebyshev polynomial method to Landauer–Büttiker formula of quantum transport in nanostructures
AIP Advances, 2020 The Landauer–Büttiker formula describes the electronic quantum transport in nanostructures and molecules. It will be numerically demanding for simulations of complex or large size systems due to, for example, matrix inversion calculations.
Yan Yu +6 more
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Chebyshev pseudo-spectral method for optimal control problem of Burgers’ equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 In this study, an indirect method is proposed based on the Chebyshev pseudo-spectral method for solving optimal control problems governed by Burgers’ equation.
F. Mohammadizadeh +2 more
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Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems
Journal of Applied Mathematics, 2014 A new class of spectral methods for solving two-point boundary value problems for linear ordinary differential equations is presented in the paper. Although these methods are based on trigonometric functions, they can be used for solving periodic as well
Bojan Orel, Andrej Perne
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Injection into Orbit Optimization using Orthogonal Polynomials [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2017 In this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. The method was based on orthogonalpolynomial approximation.
Sedigheh Shahmirzaee Jeshvaghany +2 more
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Nonlinear Engineering, 2019 In this paper, the problem of determining heat transfer from convecting-radiating fin of triangular and concave parabolic shapes is investigated.We consider one-dimensional, steady conduction in the fin and neglect radiative exchange between adjacent ...
Shivanian Elyas +2 more
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Advances in Difference Equations, 2021 In this research, we study a general class of variable order integro-differential equations (VO-IDEs). We propose a numerical scheme based on the shifted fifth-kind Chebyshev polynomials (SFKCPs). First, in this scheme, we expand the unknown function and
H. Jafari, S. Nemati, R. M. Ganji
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Results in Physics, 2023 In this paper, the modified anomalous space–time fractional sub-diffusion equation in two dimensions is introduced. The Chebyshev cardinal polynomials (as an appropriate family of basis functions) are successfully used to make a computational technique ...
M.H. Heydari
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IET Control Theory & Applications, 2023 This paper investigates the coordinated attitude control problem with fractional order sliding mode control theory for spacecraft formation flying by considering of unknown disturbance, inertia uncertainty, partial loss of actuators, and communication ...
Fan Wu, Ming Liu, Zhenyu Feng, Xibin Cao
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Журнал Белорусского государственного университета: Математика, информатика, 2020 Two computational schemes for solving boundary value problems for a singular integro-differential equation, which describes the scattering of H-polarized electromagnetic waves by a screen with a curved boundary, are constructed.
Galina A. Rasolko, Sergei M. Sheshko
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The influence of linear anisotropic scattering of one-speed neutrons on the critical size of a slab with reflective boundary conditions [PDF]
Nuclear Technology and Radiation Protection, 2017 The criticality problem for one-speed neutrons in a slab is investigated using Chebyshev polynomials of first kind in the series expansion of the neutron angular flux in stationary neutron transport equation.
Ozturk Hakan
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