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Radial basis function method for the fractional magnetohydrodynamics flow of Prandtl fluid

Author(s)
Khaliq R Shaheed Benazir Bhutto Women University Peshawar,,Pakistan
Mehnaz Shaheed Benazir Bhutto Women University Peshawar,,Pakistan
Zahir Shaheed Benazir Bhutto Women University Peshawar,,Pakistan
Abstract
In this article, magnetohydrodynamics flow of Prandtl fluid in a porous medium between two parallel plates is discussed. Lower plate is held stationary while upper plate is oscillatory. Radial basis function collocation approach is used to find the numerical solution of time fractional partial differential equation correlated with Prandtl fluid flow passing between two parallel plates. In this problem fractional derivative is consider in a Caputo sense and Crack Nicolson scheme is used to approximate the space derivative by using radial basis function. Numerical results are presented to check the accuracy of the method. Solution is plotted for different values of magnetohydrodynamics, Prandtl fluid and porous medium parameters. Numerical solutions are also plotted for different fractional orders to demonstrate the effect of introducing fractionality in the system.
Publication Details
Page(s) 0-0
DOI DOI not available
Published Journal: Sixth International Conference on Sustainability in Process Industries (SPI) 19-20 Octover 2022 (Book of Abstracts), Volume: 0, Issue: 0, Year: 2022

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Keywords
Caputo derivative, Radial Basis Function, Prandtl fluid.
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