Articles

Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator

by Anant Kant Shukla, T.R. Ramamohan and S. Srinivas

We demonstrate the efficiency of a modification of the normal homotopy analysis method (HAM) proposed by Liaoby 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).

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.

Source: http://www.sciencedirect.com/science/article/pii/S100757041200072X

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