Shifted Chebyshev wavelet-quasilinearization technique for MHD squeezing flow between two infinite plates and Jeffery–Hamel flows

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 Jeffery–Hamel flow that is obtained using proper similarity transforms. Numerical solution is also sought using Runge–Kutta 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.