... are considered. Design/methodology/approach First, using an implicit scheme, the heat equation is discretized in time, whereby, at each time level, a nonlinear two-point boundary value problem (TPBVP) is obtained. To solve the nonlinear TPBVPs, the quasilinearization method is applied. The obtained linear...

... }       Abhishek Kumar Singh can be contacted at: abhishek.iitm1@gmail.com 24 06 2020 29 09 2020 03 10 2020 MHD flow Quasilinearization Coupled partial differential equation Finite difference scheme for non uniform mesh Wall suction/injuction U = reference...

... along with the frequency parameter n to study the surface roughness. The non-similar transformations are used to reduce the dimensional non-linear partial differential equations into dimensionless form, and then, the resulting equations are solved with the help of Newton’s Quasilinearization...

..., analytical solutions for large transfer rates are presented. Then, a quasilinearization is used to obtain a complete solution. Good agreement is found between solutions obtained with these different methods and with the numerical data in Hassanien and Gorla (1990). uˆ; vˆ velocity...

... points boundary conditions. First, we used a development of this equation by Newton’s method. The purpose of this paper is to show that the numerical scheme of quasilinearization gives rapid convergence to solution of this boundary layer problem. The vertical force balance gives the prediction...