A Modified Homotopy Analysis Method for Solving Boundary Layer Equations

Yinlong Zhao, Zhiliang Lin, Shijun Liao

School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, China.

DOI: 10.4236/am.2013.41003                

Abstract

A new modification of the Homotopy Analysis Method (HAM) is presented for highly nonlinear ODEs on a semi-infinite domain. The main advantage of the modified HAM is that the number of terms in the series solution can be greatly reduced; meanwhile the accuracy of the solution can be well retained. In this way, much less CPU is needed. Two typical examples are used to illustrate the efficiency of the proposed approach.

Keywords

Homotopy Analysis Method; Boundary Layer Equations; Orthonormal Functions

Conflicts of Interest

The authors declare no conflicts of interest.

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