Applied Mathematics

Volume 4, Issue 1 (January 2013)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

A Modified Homotopy Analysis Method for Solving Boundary Layer Equations

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DOI: 10.4236/am.2013.41003    6,150 Downloads   10,537 Views  Citations

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.

Share and Cite:

Y. Zhao, Z. Lin and S. Liao, "A Modified Homotopy Analysis Method for Solving Boundary Layer Equations," Applied Mathematics, Vol. 4 No. 1, 2013, pp. 11-15. doi: 10.4236/am.2013.41003.

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