On the Method of Inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations Arising in Nanofluid Flow, Heat and Mass Transfer

Applied Mathematics and Nonlinear Sciences

Vajravelu Kuppalapalle¹  Dewasurendra Mangalagama¹ 

[1] Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA;

关键词: method of directly defining the inverse mapping;    nonlinear systems;    nanofluid;    brownian motion;    stretching surface;    analytical methods;    homotopy analysis method;    34a25;    34a34;    34b15;    65l10;    76d10;   

DOI  :  10.21042/AMNS.2018.1.00001

来源: DOAJ

【 摘 要 】

Very recently, Liao has invented a Directly Defining Inverse Mapping Method (MDDiM) for nonlinear differential equations. Liao’s method is novel and can be used for solving several problems arising in science and engineering, if we can extend it to nonlinear systems. Hence, in this paper, we extend Liao’s method to nonlinear-coupled systems of three differential equations. Our extension is not limited to single, double or triple equations, but can be applied to systems of any number of equations.

【 授权许可】

Unknown