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

Shukla, Anant Kant and Ramamohan, TR and Srinivas, S (2012) Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator. Communications in Nonlinear Science and Numerical Simulation, 17 . pp. 3776-3787.

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    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.

    Item Type: Journal Article
    Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General)
    Division/Department: CSIR Centre for Mathematical Modelling and Computer Simulation, CSIR Centre for Mathematical Modelling and Computer Simulation, Other
    Depositing User: Dr. TR Ramamohan
    Date Deposited: 30 Apr 2012 10:08
    Last Modified: 30 Apr 2012 10:08
    URI: http://nal-ir.nal.res.in/id/eprint/10442

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