Linear barycentric rational collocation method for solving biharmonic equation
Demonstratio Mathematica, 2022 Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial.
Li Jin
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Node Local Similarity Based Two-stage Density Peaks Algorithm for Overlapping Community Detection [PDF]
Jisuanji kexue, 2022 In order to detect overlapping community structures in complex networks,the idea of density peaks clustering algorithm is introduced.However,applying the density peaks clustering algorithm to community detection still has problems such as how to measure ...
DUAN Xiao-hu, CAO Fu-yuan
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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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The theorem about the transformer excitation current waveform mapping into the dynamic hysteresis loop branch for the sinusoidal magnetic flux case [PDF]
Serbian Journal of Electrical Engineering, 2015 This paper analyses aspects of the approximation theory application on the certain subsets of the measured samples of the transformer excitation current and the sinusoidal magnetic flux.
Petrović Nenad +2 more
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Topological and geometric signatures of brain network dynamics in Alzheimer's disease. [PDF]
Alzheimers DementAbstract INTRODUCTION This study explores magnetic resonance imaging (MRI) as a promising non‐invasive approach to monitor Alzheimer's disease (AD) and related dementias. We investigate whether dynamic functional connectivity (dFC), which captures time‐varying neural interactions, can reveal sex‐specific brain network disruptions in AD that ...
Yi L +4 more
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Three-dimensional path planning of unmanned aerial vehicle based on an improved D* algorithm
Xi'an Gongcheng Daxue xuebao, 2023 An improved D* algorithm was proposed to solve the problems of low efficiency and complex inflection points in three-dimensional path autonomous planning of unmanned aerial vehicle using traditional D* algorithm.
WANG Xiaoshuai, ZHU Qixin, ZHU Yonghong
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Bernstein basis functions based algorithm for solving system of third order initial value problems
Alexandria Engineering Journal, 2021 For obtaining numerical solutions of the system of ordinary differential equations (ODEs) of third order, a new numerical technique is proposed by using operational matrices of Bernstein polynomials.
Rida Malik +6 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 A constructive technique of analysis involving parametrisation and polynomial interpolation is suggested for general non-local problems for ordinary differential systems with locally Lipschitzian transcendental non-linearities.
András Rontó +2 more
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A generalization of Hermite interpolation
International Journal of Mathematics and Mathematical Sciences, 1997 We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
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A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation [PDF]
Journal of Hyperstructures, 2013 This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used
F. Mirzaee, Elham Hadadiyan
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