Article
On the Method of Inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations Arising in Nanofluid Flow, Heat and Mass Transfer
Authors
and
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.
Keywords
Method of directly defining the inverse mapping, Nonlinear systems, Nanofluid, Brownian motion, Stretching surface, analytical methods, Homotopy analysis method, 34A25, 34A34, 34B15, 65L10, 76D10
Citation
Dewasurendra, M. & Vajravelu, K. (2018). 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, 3(1), 1–14. https://doi.org/10.21042/AMNS.2018.1.00001
M. Dewasurendra and K. Vajravelu, “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, vol. 3, no. 1, pp. 1–14, 2018, doi: 10.21042/AMNS.2018.1.00001.
Dewasurendra M, Vajravelu K. 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. 2018;3(1):1–14. doi:10.21042/AMNS.2018.1.00001.
Dewasurendra, M. and Vajravelu, K. (2018), ‘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, 3(1), pp. 1–14. Available at: https://doi.org/10.21042/AMNS.2018.1.00001.
Dewasurendra, Mangalagama, and Kuppalapalle Vajravelu. “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, vol. 3, no. 1, 2018, pp. 1–14. https://doi.org/10.21042/AMNS.2018.1.00001.
Dewasurendra, Mangalagama, and Kuppalapalle Vajravelu. “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 3, no. 1 (2018): 1–14. https://doi.org/10.21042/AMNS.2018.1.00001.
Export citation
Published by: Engineering Journals
