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

Author:

Dewasurendra Mangalagama1,Vajravelu Kuppalapalle1

Affiliation:

1. Department of Mathematics , University of Central Florida , Orlando , FL 32816-1364 , USA

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Reference17 articles.

1. P. Rana, R. Bhargava, 1. (2012), Flow and heat transfer of a nanofluid over a nonlinear stretching sheet: A numerical study, Communication in Nonlinear Science and Numerical Simulation 17, 212-226. 10.1016/j.cnsns.2011.05.009

2. S. Liao, Y. Zhao, 2. (2016), Flow and heat transfer of a nanofluid over a nonlinear stretching sheet: A numerical study, Communication in Nonlinear Science and Numerical Simulation, 72.4, 989-1020. 10.1007/s11075-015-0077-4

3. M. Baxter, M. Dewasurendra, K. Vajravelu, 3. (2017), A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations, Numerical Algorithms,1-13. 10.1007/s11075-017-0359-0

4. S.J. Liao, 4. (2003), Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/CRC Press, Boca Raton.

5. S.J. Liao, 5. (2012), Homotopy Analysis Method in Nonlinear Differential Equations. Springer & Higher Education Press, Heidelberg, 2012. 10.1007/978-3-642-25132-0

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