<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Very recently, Liao has invented a Directly Defining Inverse Mapping Method (MDDiM) for nonlinear differential equations. Liao’s method is novel and can be...

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

Published Online: Oct 03, 2018

Page range: 1 - 14

Received: Nov 12, 2017

Accepted: Feb 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00001

Keywords
Method of directly defining the inverse mapping, Nonlinear systems, Nanofluid, Brownian motion, Stretching surface, analytical methods, Homotopy analysis method

© 2018 Mangalagama Dewasurendra and Kuppalapalle Vajravelu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Oct 03, 2018

Page range: 1 - 14

Received: Nov 12, 2017

Accepted: Feb 05, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00001

KeywordsMethod of directly defining the inverse mapping, Nonlinear systems, Nanofluid, Brownian motion, Stretching surface, analytical methods, Homotopy analysis method

© 2018 Mangalagama Dewasurendra and Kuppalapalle Vajravelu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Method of directly defining the inverse mapping, Nonlinear systems, Nanofluid, Brownian motion, Stretching surface, analytical methods, Homotopy analysis method