The generalized quasilinearization technique has been employed to obtain a sequence of approximate solutions converging monotonically and rapidly to a solution of the nonlinear Neumann boundary value problem.

Objective: This study investigates the Numerical solution of laminar boundary layer flow Magnetohydrodynamics (MHD) model for power-law fluid over a continuous moving surface in presence transverse magnetic. Methods: The governing partial differential equation was transformed into non-linear ordinary using Group theoretic method. Firstly, we convert this (ODE) linear by quasilinearization proce...

In this paper, we propose a method for solving some classes of the singular fractional nonlinear Lane-Emden type equations. The is proposed by utilizing second-kind Chebyshev wavelets in conjunction with quasilinearization technique. operational matrices are used. tested on standard equation, isothermal gas spheres and other examples. We compare results produced present well-known to show accur...

We propose a new modification of Bellman’s quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the previous ones. As an output, this approach provides a construction of a convergent sequence of parameters where the limit is the best approximatio...