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On a new analytical method for flow between two inclined walls

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Abstract

Efficient analytical methods for solving highly nonlinear boundary value problems are rare in nonlinear mechanics. The purpose of this study is to introduce a new algorithm that leads to exact analytical solutions of nonlinear boundary value problems and performs more efficiently compared to other semi-analytical techniques currently in use. The classical two-dimensional flow problem into or out of a wedge-shaped channel is used as a numerical example for testing the new method. Numerical comparisons with other analytical methods of solution such as the Adomian decomposition method (ADM) and the improved homotopy analysis method (IHAM) are carried out to verify and validate the accuracy of the method. We show further that with a slight modification, the algorithm can, under certain conditions, give better performance with enhanced accuracy and faster convergence.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01 Scottsville 3209, Pietermaritzburg, South Africa

    Sandile S. Motsa & Precious Sibanda

  2. Department of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni, Swaziland

    Gerald T. Marewo

Authors
  1. Sandile S. Motsa
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  2. Precious Sibanda
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  3. Gerald T. Marewo
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Correspondence to Precious Sibanda.

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Motsa, S.S., Sibanda, P. & Marewo, G.T. On a new analytical method for flow between two inclined walls. Numer Algor 61, 499–514 (2012). https://doi.org/10.1007/s11075-012-9545-2

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  • DOI: https://doi.org/10.1007/s11075-012-9545-2

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