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Abstract

In this chapter, we illustrate the validity of the HAM-based Mathematica package BVPh (version 1.0) for nonlinear partial differential equations (PDEs) related to non-similarity boundary-layer flows. We show that, using BVPh 1.0, a non-similarity boundary-layer flow can be solved in a rather similar way to that for similarity ones governed by nonlinear ODEs. In other words, in the frame of the HAM, solving non-similarity boundary-layer flows is as easy as similarity ones. This shows the validity of the BVPh 1.0 for some nonlinear PDEs, especially for those related to boundary-layer flows.

Keywords

Homotopy Analysis Method Auxiliary Linear Operator Linear ODEs Accor Ding Homotopy Analysis Method Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Shijun Liao
    • 1
  1. 1.Shanghai Jiao Tong UniversityShanghaiChina

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