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Mathematical modeling of fractional derivatives for magnetohydrodynamic fluid flow between two parallel plates by the radial basis function method

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Theoretical & Applied Mechanics Letters 2022年第4期12卷 241-250页

作者： Saman Hosseinzadeh Seyed Mahdi Emadi Seyed Mostafa Mousavi Davood Domairry Ganji Department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran

Investigations into the magnetohydrodynamics of viscous fluids have become more important in recent years,owing to their practical significance and numerous applications in astro-physical and geo-physical *** this paper,the radial base function was utilized to answer fractional equation associated with fluid flow passing through two parallel flat plates with a magnetic *** magnetohydrodynamics coupled stress fluid flows between two parallel plates,with the bottom plate being stationary and the top plate moving at a persistent *** compared the radial basis function approach to the numerical method(fourth-order Range-Kutta)in order to verify its *** findings demonstrated that the discrepancy between these two techniques is quite negligible,indicating that this method is very *** impact of the magnetic field parameter and Reynolds number on the velocity distribution perpendicular to the fluid flow direction is ***,the velocity parameter is compared for diverse conditionsα,Reynolds and position(y),the maximum of which occurs atα=***,the maximum velocity values occur inα=0.4 and Re=1000 and the concavity of the graph is less forα=0.8.

关键词： Magnetohydrodynamic fluid Fractional equation radial basis function method Numerical method

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NUMERICAL APPROXIMATION OF THE SMOLUCHOWSKI EQUATION USING radial basis functionS

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Journal of Computational Mathematics 2020年第1期38卷 176-194页

作者： Christiane Helzel Maximilian Schneiders Institut of Mathematics Heinrich-Heine-Universitat DusseldorfGermany formerly Institut of Mathematics Heinrich-Heine-Universitat DusseldorfGermany

The goal of this paper is to present a numerical method for the Smoluchowski equation,a drift-diffusion equation on the sphere,arising in the modelling of particle *** numerical method uses radial basis functions(RBF).This is a relatively new approach,which has recently mainly been used for geophysical *** a simplified model problem we compare the RBF approach with a spectral method,*** standard approach used in related physical *** comparison as well as our other accuracy studies show that RBF methods are an attractive alternative for these kind of models.

关键词： Smoluchowski equation Spectral method radial basis function method

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