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 unsteady boundary-layer flows. We show that, using BVPh 1.0, an unsteady boundary-layer flow can be solved in a rather similar way to that for steady-state similarity ones governed by nonlinear ODEs. In other words, in the frame of the HAM, solving unsteady boundary-layer flows is as easy as steady-state ones. This shows the validity of the BVPh 1.0 for some nonlinear PDEs, especially for those related to boundary-layer flows.


Initial Guess Homotopy Analysis Method Nonlinear Partial Differential Equation Linear Partial Differential Equation Local Skin Friction 
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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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