Non-similarity Boundary-layer Flows

Shijun Liao ()
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Shijun Liao: Shanghai Jiao Tong University

Chapter Chapter 11 in Homotopy Analysis Method in Nonlinear Differential Equations, 2012, pp 383-401 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25132-0_11

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DOI: 10.1007/978-3-642-25132-0_11

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