Title of article :
Shifted Chebyshev wavelet-quasilinearization technique for MHD squeezing flow between two infinite plates and JefferyeHamel flows
Author/Authors :
Iqbal, Muhammad Asad HITEC University Taxila - Faculty of Sciences - Department of Mathematics, Pakistan , Khan, Umar HITEC University Taxila - Faculty of Sciences - Department of Mathematics, Pakistan , Ali, Ayyaz HITEC University Taxila - Faculty of Sciences - Department of Mathematics, Pakistan , Mohyud-Din, Syed Tauseef HITEC University Taxila - Faculty of Sciences - Department of Mathematics, Pakistan
Abstract :
In this article, shifted Chebyshev wavelets method is merged with quasilinearization technique to tackle with the nonlinearity of physical problems. The accuracy of the proposed method is verified by the help of two nonlinear physical models, one MHD squeezing flow between two infinite plates and other JefferyeHamel flow that is obtained using proper similarity transforms. Numerical solution is also sought using RungeeKutta order 4 method. Results obtained for different iterations and different values of degree of polynomial are described in tables and graphs which verify the accuracy and stability of the proposed method.
Keywords :
MHD flow , Chebyshev wavelets method , Quasilinearization technique , Jeffery–Hamel flow , Numerical solution
Journal title :
Egyptian Journal Of Basic and Applied Sciences
Journal title :
Egyptian Journal Of Basic and Applied Sciences