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Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator
► This paper modifies the normal homotopy analysis method. ► The method proposed shows faster convergence. ► This method may reduce computational cost and effort. We demonstrate the efficiency of a modification of the normal homotopy analysis method (HAM) proposed by Liao [2] by including a non-homo...
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Published in: | Communications in nonlinear science & numerical simulation 2012-10, Vol.17 (10), p.3776-3787 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | ► This paper modifies the normal homotopy analysis method. ► The method proposed shows faster convergence. ► This method may reduce computational cost and effort.
We demonstrate the efficiency of a modification of the normal homotopy analysis method (HAM) proposed by Liao [2] by including a non-homogeneous term in the auxiliary linear operator (this can be considered as a special case of “further generalization” of HAM given by Liao in [2]). We then apply the modified method to a few examples. It is observed that including a non-homogeneous term gives faster convergence in comparison to normal HAM. We also prove a convergence theorem, which shows that our technique yields the convergent solution. |
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ISSN: | 1007-5704 1878-7274 |
DOI: | 10.1016/j.cnsns.2012.02.016 |