On a perturbation treatment of a model for MHD viscous flow

TL;DR

This paper presents a new numerical and analytical approach to solving a nonlinear differential equation in MHD viscous flow, critiques a recent perturbation method, and discusses its limitations.

Contribution

It introduces an accurate numerical solution and simple analytical expressions for the MHD viscous flow model, and analyzes the shortcomings of a recent perturbation approach.

Findings

The proposed numerical method provides accurate solutions.

Analytical expressions are derived for the model.

The perturbation treatment shows pathological behavior.

Abstract

We discuss the solution of a nonlinear ordinary differential equation that appears in a model for MHD viscous flow caused by a shrinking sheet. We propose an accurate numerical solution and derive simple analytical expressions. Our results suggest that a recent perturbation treatment of the same problem exhibits a pathological behaviour and conjecture its probable cause.