A Modified Homotopy Analysis Method for Solving Boundary Layer Equations

DOI: 10.4236/am.2013.41003   PDF   HTML   XML   5,425 Downloads   9,140 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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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