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The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space

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Abstract

In this study, based on the Legendre wavelet method, we will present a new efficient method to obtain the numerical solutions of a nonlinear ordinary differential equation arising in fluid dynamics. The Legendre wavelet collocation method (LWCM) will be used and problem is converted into a system of algebraic equations, where the solutions of obtained system are computed by using the Newton’s method. Finally some numerical examples are given to check the accuracy of proposed method and a comparison is made with the other methods which reflects the efficiency and capability of method.

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Acknowledgements

This research was supported by Shahid Beheshti University and the research group of Scientific Computations.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, General Campus, Evin, Tehran, 19839, Iran

    Simin Shekarpaz & Hossein Azari

  2. Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, Tehran, Iran

    Kourosh Parand

  3. Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Behehsti University, Tehran, Iran

    Kourosh Parand

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  1. Simin Shekarpaz
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  2. Kourosh Parand
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  3. Hossein Azari
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Correspondence to Simin Shekarpaz.

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Shekarpaz, S., Parand, K. & Azari, H. The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space. SeMA 76, 495–503 (2019). https://doi.org/10.1007/s40324-019-00188-9

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  • DOI: https://doi.org/10.1007/s40324-019-00188-9

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