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Numerical solution of third-order Emden–Fowler type equations using artificial neural network technique

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Abstract

This paper presents the application of artificial neural network technique for solving a class of third-order linear and nonlinear boundary value problems with mixed nonlinear boundary conditions. This technique overcomes the singular behavior of problems and outlines the approximations of high exactness with a vast viable region of convergence. The proposed method has been tested for various examples; acquired outcomes exhibit the effectiveness and robustness of the proposed strategy and are compared with the other existing numerical techniques.

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Acknowledgements

The authors are thankful to the National Board of Higher Mathematics (NBHM), Government of India for providing financial support to bring out this work through its project sanctioned Order No. 02011/-25/2019/R&D-II/3889. We express our sincere thanks to editor in chief, editor, and reviewers for their valuable suggestions to revise this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, U.P., 211004, India

    Akanksha Verma & Manoj Kumar

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  1. Akanksha Verma
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  2. Manoj Kumar
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Correspondence to Akanksha Verma.

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Verma, A., Kumar, M. Numerical solution of third-order Emden–Fowler type equations using artificial neural network technique. Eur. Phys. J. Plus 135, 751 (2020). https://doi.org/10.1140/epjp/s13360-020-00780-3

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00780-3

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