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A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations

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Abstract

Recently, Liao introduced a new method for finding analytical solutions to nonlinear differential equations. In this paper, we extend this idea to nonlinear systems. We study the system of nonlinear differential equations that governs nonlinear convective heat transfer at a porous flat plate and find functions that approximate the solutions by extending Liao’s Method of Directly Defining the Inverse Mapping (MDDiM).

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Acknowledgements

The authors thank Professor Shijun Liao for the constructive comments (on the first draft of the paper) which led to definite improvement in the paper. The authors thank the reviewers for constructive comments that led to definite improvement in the paper.

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Authors and Affiliations

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

    Mangalagama Dewasurendra & Kuppalapalle Vajravelu

  2. Department of Mathematics, Florida Gulf Coast University, Fort Myers, FL, 33965, USA

    Mathew Baxter

Authors
  1. Mathew Baxter
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  2. Mangalagama Dewasurendra
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  3. Kuppalapalle Vajravelu
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Correspondence to Kuppalapalle Vajravelu.

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Baxter, M., Dewasurendra, M. & Vajravelu, K. A method of directly defining the inverse mapping for solutions of coupled systems of nonlinear differential equations. Numer Algor 77, 1199–1211 (2018). https://doi.org/10.1007/s11075-017-0359-0

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  • DOI: https://doi.org/10.1007/s11075-017-0359-0

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