Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Homotopy analysis method with a non-homogeneous term
in the auxiliary linear operator
|
|
| Creator |
Shukla, Anant Kant
T R, Ramamohan |
|
| Subject |
Mathematical Modelling tools
|
|
| Description |
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.
|
|
| Publisher |
Elsevier Science
|
|
| Date |
2012
|
|
| Type |
Article
PeerReviewed |
|
| Format |
application/pdf
|
|
| Identifier |
http://cir.cmmacs.ernet.in/305/1/akspap1.pdf
Shukla, Anant Kant and T R, Ramamohan (2012) Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator. Communications in Nonlinear Science and Numerical Simulation, 17 (10). pp. 3776-3787. ISSN 1007-5704 |
|
| Relation |
http://www.journals.elsevier.com/communications-in-nonlinear-science-and-numerical-simulation/
http://cir.cmmacs.ernet.in/305/ |
|