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Solution of the Blasius Equation by Using Adomian Kamal Transform

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Abstract

In this article, we present solution of Blasius differential equation with condition at infinity and convert the series solution into rational function by using Pad\( \breve{\hbox{e}} \)s approximation. A new method is introduced, called Adomian Kamal transform method, which is a combination of Adomian decomposition method and Kamal transform, for handling a differential equation of mixing layer that arises in viscous incompressible fluid. It offered not only the numerical values, but also the power series close-form solutions.

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Acknowledgements

I thank the reviewers for helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Maharishi Arvind University, Jaipur, India

    Rachana Khandelwal, Padama Kumawat & Yogesh Khandelwal

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  1. Rachana Khandelwal
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  2. Padama Kumawat
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  3. Yogesh Khandelwal
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Correspondence to Rachana Khandelwal.

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Khandelwal, R., Kumawat, P. & Khandelwal, Y. Solution of the Blasius Equation by Using Adomian Kamal Transform. Int. J. Appl. Comput. Math 5, 20 (2019). https://doi.org/10.1007/s40819-019-0601-7

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  • DOI: https://doi.org/10.1007/s40819-019-0601-7

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