Numerical Contrivance for Kawahara-Type Differential Equations Based on Fifth-Kind Chebyshev Polynomials by Waleed Mohamed Abd-Elhameed, Seraj Omar Alkhamisi, Amr Kamel Amin, Youssri Hassan Youssri

“…This article proposes a numerical algorithm utilizing the spectral Tau method for numerically handling the Kawahara partial differential equation. …”
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The HFD method for large eddy simulation of MHD turbulence decay by Aigerim Abdibekova, D. B. Zhakebayev

“…We also demonstrate that the developed efficient numerical algorithm can be used to simulate the magnetohydrodynamic turbulence decay at different magnetic Reynolds numbers.…”
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Balanced sparse model for tight frames in compressed sensing magnetic resonance imaging. by Yunsong Liu, Jian-Feng Cai, Zhifang Zhan, Di Guo, Jing Ye, Zhong Chen, Xiaobo Qu

“…In this paper, we study the performance of the balanced model in tight frame based compressed sensing magnetic resonance imaging and propose a new efficient numerical algorithm to solve the optimization problem. By tuning the balancing parameter, the new model achieves solutions of three models. …”
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Nonlinear fracture mechanics investigation on the ductility of reinforced concrete beams by A. Carpinteri, M. Corrado

“…In the present paper, a numerical algorithm based on the finite element method is proposed for the prediction of the mechanical response of reinforced concrete (RC) beams under bending loading. …”
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Use of the Adjoint Method for Controlling the Mechanical Vibrations of Nonlinear Systems by Carmine Maria Pappalardo, Domenico Guida

“…A detailed theoretical derivation and a comprehensive description of the numerical algorithm suitable for the computer implementation of the methodology used for performing the adjoint analysis are provided in the paper. …”
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Numerical Modeling of Disperse Materials Process in a Continuous-Flow Plasma Reactor by B. A. Urmashev, A. Issakhov

“…The paper presents a numerical simulation of the propagation of the direct-flow temperature plasma reactor, which is solved by the compressible Navier–Stokes equations, numerical algorithm based on SIMPLE algorithm that are approximated by finite volume method. …”
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The impact of memory effect on space fractional strong quantum couplers with tunable decay behavior and its numerical simulation by Ahmed S. Hendy, Mahmoud A. Zaky, Ramy M. Hafez, Rob H. De Staelen

“…The numerical methodology is based on the finite-difference/Galerkin Legendre spectral method with an easy to implement numerical algorithm. The time-fractional derivative is considered to describe the decay behavior and the nonlocal memory of the model. …”
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Mathematical modeling and research of heat and moisture transfer processes in porous media by Ravshanov Normakhmad, Shadmanov Istam, Kubyashev Kurash, Khikmatullaev Sanjar

“…Based on the method of coordinate-wise splitting, a numerical algorithm for calculating three-dimensional heat and moisture transfer problems in areas of the parallelepiped type is presented. …”
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Landau discriminants by Sebastian Mizera, Simon Telen

“…Finally, we provide an efficient numerical algorithm for the computation of the number of master integrals based on the connection to algebraic statistics. …”
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ETNOPOLITOGENESIS ENGLISH ETHNOS AND FORECAST OF ENGLAND by Рубин Гатуфович Сайфуллин

“…</p><p>It is shown that the British ethnogenesis developed generally in accordance with the numerical algorithm: distemper in the political history ofEnglandtook place during the periods of unstable states of phase transitions and critical periods in phases. …”
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THE REVERSING OF INTERFACES IN SLOW DIFFUSION PROCESSES WITH STRONG ABSORPTION by Foster, J, Please, C, Fitt, A, Richardson, G

“…By doing this the adjustable parameters, or degrees of freedom, which may be used in a numerical shooting scheme are determined. A numerical algorithm is then proposed to furnish solutions to the ODEs and hence the PDE in the limit of interest. …”

Computer Simulations of Dynamic Response of Ferrofluids on an Alternating Magnetic Field with High Amplitude by Vladimir Zverev, Alla Dobroserdova, Andrey Kuznetsov, Alexey Ivanov, Ekaterina Elfimova

“…In this article, we study the dependence of the computational error arising in the computer simulation of the dynamic susceptibility on the input parameters of the numerical algorithm: the length of the time step, the total number of computer simulation periods, and averaging period. …”
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ETNOPOLITOGENESIS CHINESE GIPERETHNOS AND FORECAST OF CHINE by Saifullin Rubin Gatufovich

“…It is shown that the Chinese ethnogenesis developed generally in accordance with the numerical algorithm: distemper in the political history of Chine took place during the periods of unstable states of phase transitions and critical periods in phases. …”

The formal solutions of Diophantine equation agy = bx + c by Xiazhou Yang

“…Our method not only reveals the internal structure of the equation's solution and yields a numerical algorithm to solve it systematically, but also provides an alternative approach to the discrete logarithm problem.…”
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A KINEMATIC ANALYSIS OF THE VALVE TIMING MECHANISM WITH THREE ELEMENTS AND CONTINUOUS VALVE LIFT by Stelian MIHALCEA, Nicolae PANDREA

“…It is also presented the numerical algorithm for the mechanism’s motion.…”
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Solving Special Case of Inverse Sturm-Liouville Problem with Aftereffect by using Chebyshev Polynomials by Shahrbanoo Akbarpoor, Abdol Hadi Dabbaghian, Abdolali Nematy

“…In section 3, we approximate the function M in the special case contained, by using the method of Chebyshev interpolation and provide the numerical algorithm for solving the inverse aftereffect problem. …”
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A numerical tool for integrating renewable energy into total sites with variable supply and demand by Wan Alwi, Sharifah Rafidah, Peng, Yen Liew, Varbanov, Petar Sabev, Abdul Manan, Zainuddin, Klemes, Jiri Jaromir

“…However, a dedicated numerical algorithm can offer more useful features. This paper introduces a numerical algorithm to efficiently address large-scale TSHI problems involving variable supply and demand. …”

Numeričke metode rješavanja nelinearnih jednadžbi u određivanju prosječne brzine vozila by Tomislav Šikić, Marijana Gjumbir

“…<p>This paper gives recommendations for the application of Pegasus numerical algorithm for establishing the parameters needed for the computation of average vehicle speeds on two- way roads. …”
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on the calculation of composite beams on two-parameter elastic foundations by V V Filatov

“…Difference form of SUPROX method is used to generate some numerical algorithm. The calculation of composite beam on elastic foundations illustrates a simple and fast-convergence solution…”
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The Method of Lines in the time domain by S. F. Helfert

“…The Method of Lines (MoL) is a semi-analytical numerical algorithm that has been used in the past to solve Maxwell's equations for waveguide problems. …”
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