An efficient numerical method for solving Falkner–Skan boundary layer flows |
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| Authors: | S S Motsa P Sibanda |
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| Institution: | 1. Department of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni, Swaziland;2. School of Mathematical Sciences, University of KwaZulu‐Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africa |
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| Abstract: | In this paper a novel computational technique for the solution of nonlinear third‐order boundary value problems is presented. We demonstrate the application of the method by solving the famous Falkner–Skan equation on a semi‐infinite domain. Comparison with the results from other methods such as the homotopy analysis method and numerical methods demonstrates the accuracy, computational efficiency and robustness of this technique. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | spectral method homotopy analysis method nonlinear boundary value problems Falkner– Skan |
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