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Applied Mathematics and Nonlinear Sciences

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Available online: February 05, 2018

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

Mangalagama Dewasurendra, Kuppalapalle Vajravelu
Volume 3 - Issue 1.     Year 2018.     Pages 1–14.

DOI: 10.21042/AMNS.2018.1.00001


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.

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Applied Mathematics, Nonlinear Sciences


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