Analytical approximate solutions of nonlinear differential equation governing Jeffery–Hamel flow using the multi-step differential transform method

This paper aims to present multi-step differential transform method (MsDTM), a reliable new algorithm of DTM, for compute an approximate solution of the Jeffery–Hamel flow. The multi-step DTM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions for nonlinear differential equations. Nonlinear differential equation governing Jeffery–Hamel flow is solved by MsDTM. The validity of our solutions is verified by the numerical method (fourth-order Runge–Kutta method and shooting method) and other analytical methods such as DTM and HAM. Furthermore, the effects of the Reynolds number for various angels of rigid plane walls on the Jeffery–Hamel flow are discussed.

کلیدواژه ها:

Analytical and numerical solution ، Jeffery–Hamel flow ، Multi-step differential transform method (MsDTM)