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Radial basis function method for the fractional magnetohydrodynamics flow of Prandtl fluid
Author(s):
1. Khaliq R: Shaheed Benazir Bhutto Women University Peshawar,,Pakistan
2. Mehnaz: Shaheed Benazir Bhutto Women University Peshawar,,Pakistan
3. 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.
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
Keywords:
Caputo derivative , Radial Basis Function , Prandtl fluid
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