Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm

Purpose The purpose of this study is to introduce the reproducing kernel algorithm for treating classes of time-fractional partial differential equations subject to Robin boundary conditions with parameters derivative arising in fluid flows, fluid dynamics, groundwater hydrology, conservation of ene...

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Bibliographic Details
Published in:	International journal of numerical methods for heat & fluid flow Vol. 28; no. 4; pp. 828 - 856
Main Author:	Abu Arqub, Omar
Format:	Journal Article
Language:	English
Published:	Bradford Emerald Publishing Limited 03.04.2018 Emerald Group Publishing Limited
Subjects:	Algorithms Applied mathematics Boundary conditions Circuit design Circuits Computation Computational fluid dynamics Computer simulation Conduction heating Conductive heat transfer Convergence Differential equations Differential thermal analysis Dynamics Energy conservation Engineering Exact solutions Fluid dynamics Fluid flow Groundwater Groundwater treatment Heat conduction Heat transfer Hilbert space Hydrodynamics Hydrologic models Hydrology Kernel functions Mathematical analysis Mathematical functions Mathematical models Multiphase flow Nonlinear equations Numerical methods Numerical models Partial differential equations Physics Realism Representations Series (mathematics) Solutions Solvers Heat Gas dynamics Reproducing kernel algorithm Time-fractional partial differential equations Navier–Stokes Burgers’ and Fitzhugh–Nagumo equations Robin boundary conditions Advection–diffusion
ISSN:	0961-5539, 1758-6585
Online Access:	Get full text
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