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A local meshless method for the one-dimensional Fisher’s equation

Frontiers in Physics
This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The method leverages the Gaussian basis’s nonlinear fitting
Jianjun Cao, Bailing An, Enran Hou, Fuzhang Wang   +3 more
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COLLOCATIONS STUDY BASED ON THE TEXT CORPORA

Вестник Тамбовского университета. Серия: Гуманитарные науки, 2016
The problem of extracting and studying collocations on the basis of linguistic corpora is considered. Such concepts of corpus linguistics as representativeness and the corpus volume, corpus manager (Concordance) and text corpora peculiarities are studied.
Tatyana Yurevna Paveleva
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An efficient meshless radial point collocation method for nonlinear p-Laplacian equation

Boundary Value Problems, 2020
This paper considered the spectral meshless radial point interpolation (SMRPI) method to unravel for the nonlinear p-Laplacian equation with mixed Dirichlet and Neumann boundary conditions.
Samaneh Soradi-Zeid, Mehdi Mesrizadeh, Thabet Abdeljawad   +2 more
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Dual-modal trajectory planning method for compound-wing UAV leveraging differential flatness in urban environments

Defence Technology
The rise of the low-altitude economy highlights the importance of compound-wing UAVs. However, achieving seamless and optimal trajectories across different flight modes remains a significant challenge due to inherent high-order discontinuities during ...
Teng Long, Zhenlin Zhou, Jingliang Sun, Junzhi Li, Zihan Wang, Dawei Liu   +5 more
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Simulación numérica del comportamiento no-lineal de materiales utilizando el método sin malla de puntos finitos Meshless numerical simulation of the non-linear behavior of a material using the finite point method

Ingeniare: Revista Chilena de Ingeniería, 2011
La formulación sin malla del método de puntos finitos permite aprovechar en toda su potencialidad la ventaja de este tipo de técnica numérica, habiéndose comprobado su buen funcionamiento para aplicaciones en los campos de la mecánica de fluidos ...
Luis Pérez P, Franco Perazzo M, Carlos Spa C   +2 more
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Optimal Dynamics Control in Trajectory Tracking of Industrial Robots Based on Adaptive Gaussian Pseudo-Spectral Algorithm

Algorithms
A pseudo-spectral control algorithm based on adaptive Gauss collocation point reconstruction is proposed to efficiently solve the optimal dynamics control problem of industrial robots.
Jing Zhang, Xiaokai Zhu, Te Chen, Guowei Dou   +3 more
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Zastosowanie Metody Kollokacji do Obliczenia Sprężysto-Plastycznych Ugięć Belek o Skrepowanej Przesuwności Podpór

Engineering Transactions, 1965
The used collocation method consists in assuming the form of the deflected beam i.g. in assuming the distribution function of the slope ϕ =Aϕ. In addition to the constant A the collocation function has three free parameters which can to be determined ...
Z. Waszczyszyn
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Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method

Alexandria Engineering Journal, 2020
This manuscript deals a numerical technique based on Haar wavelet collocation which is developed for the approximate solution of some systems of linear and nonlinear fractional order differential equations (FODEs).
Thabet Abdeljawad, Rohul Amin, Kamal Shah, Qasem Al-Mdallal, Fahd Jarad   +4 more
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Chebyshev collocation method for solving second order ODEs using integration matrices

Discrete and Continuous Models and Applied Computational Science, 2023
The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an expansion in Chebyshev polynomials. The approach allows a stable calculation of
Konstantin P. Lovetskiy, Dmitry S. Kulyabov, Leonid A. Sevastianov, Stepan V. Sergeev   +3 more
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The 3D Stress Field of a Dislocation Line Outside a Cylindrical Void: A Numerical Collocation Point Method with Verification

Applied Sciences
Material defects resulting from manufacturing and processing can significantly affect material properties. Voids and dislocations are material defects considered in this study, in which a numerical solution of the 3D stress field of a dislocation line ...
Luo Li, Tariq Khraishi
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