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Asymptotic Solution for a Kind of Boundary Layer Problem

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An Erratum to this article was published on 25 January 2007

Abstract

This paper studies the partial differential equation with a small coefficient in the highest-order item. This kind of equation is also named as boundary layer problem. The Burgers equation and modified Burgers equation are analyzed in this approach. First, these equations are transferred into the strong nonlinear ones, and then the corresponding strong nonlinear equations are solved based on the perturbation method. The results from the asymptotic method are comparable with those obtained from numerical computation.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hunan University, Changsha, 410082, P.R. China

    C. Z. Qian & J. S. Tang

Authors
  1. C. Z. Qian
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  2. J. S. Tang
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Correspondence to C. Z. Qian.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s11071-006-9159-0.

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Qian, C.Z., Tang, J.S. Asymptotic Solution for a Kind of Boundary Layer Problem. Nonlinear Dyn 45, 15–24 (2006). https://doi.org/10.1007/s11071-005-1067-1

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  • DOI: https://doi.org/10.1007/s11071-005-1067-1

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