We propose a simple and efficient method for solving highly nonlinear systems of boundary
layer flow problems with exponentially decaying profiles. The algorithm of the proposed …

Purpose–In this paper, analysis is presented to investigate the Falkner-Skan flow of
magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues …

Many boundary-layer flows are governed by one or coupled nonlinear ordinary differential
equations (ODEs). Currently, a Mathematica package BVPh 2.0 is issued for nonlinear …

In this study, a design of integrated computational intelligent paradigm has been presented
for numerical treatment of the one-dimensional boundary value problems represented with …

We propose a computational intelligence technique to solve the nonlinear Thomas-Fermi
equation for a finite interval. This technique uses an optimized approximation to reduce the …

This article investigates the magnetohydrodynamic (MHD) Falkner–Skan flow of a second
grade nanofluid. The flow is caused by a stretching wedge with melting heat transfer and …

In this paper, we study the nonlinear boundary-layer equation of Falkner-Skan defined on a
semi-infinite domain. An iterative finite difference (IFD) scheme is proposed to numerically …

We propose an iterative method to solve the nonlinear Thomas–Fermi equation based on
Laguerre pseudospectral approximation. Different from the direct use of pseudospectral …

A free boundary value problem is introduced to approximate the original Thomas–Fermi
equation. The unknown truncated free boundary is determined iteratively. We transform the …

In this paper, a revised optimal homotopy asymptotic method (OHAM) is applied to derive an
explicit analytical solution of the Falkner–Skan wedge flow problem. The comparisons …