Publication Type:

Journal Article

Source:

Communications in Nonlinear Science and Numerical Simulation, Elsevier, Volume 17, Number 10, p.3776–3787 (2012)

URL:

http://www.scopus.com/record/display.uri?eid=2-s2.0-84860325774&origin=inward&txGid=8B204316A16C20BF2CB0F15722FF995E.ZmAySxCHIBxxTXbnsoe5w%3a1

Keywords:

Convergence theorem, Further generalization, Homotopy analysis method, Non-homogeneous auxiliary linear operator

Abstract:

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.

Cite this Research Publication

A.K. Shukla, Ramamohan, T. R., and Srinivas, S., “Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator”, Communications in Nonlinear Science and Numerical Simulation, vol. 17, pp. 3776–3787, 2012.