Modified homotopy analysis method for solving systems of second-order BVPs

A. Sami Bataineh; M. S.M. Noorani; I. Hashim

doi:10.1016/j.cnsns.2007.09.012

Modified homotopy analysis method for solving systems of second-order BVPs

A. Sami Bataineh
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

87 Scopus citations

Abstract

In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.

Original language	English
Pages (from-to)	430-442
Number of pages	13
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	14
Issue number	2
DOIs	https://doi.org/10.1016/j.cnsns.2007.09.012
State	Published - Feb 2009
Externally published	Yes

Keywords

Boundary-value problems
Homotopy analysis method
Modified homotopy analysis method

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10.1016/j.cnsns.2007.09.012

Cite this

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abstract = "In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.",

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AU - Bataineh, A. Sami

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2009/2

Y1 - 2009/2

N2 - In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.

AB - In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of second-order boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in the standard HAM. Numerical comparisons show that the MHAM is more efficient than the standard HAM.

KW - Boundary-value problems

KW - Homotopy analysis method

KW - Modified homotopy analysis method

UR - https://www.scopus.com/pages/publications/47749118739

U2 - 10.1016/j.cnsns.2007.09.012

DO - 10.1016/j.cnsns.2007.09.012

M3 - Article

AN - SCOPUS:47749118739

SN - 1007-5704

VL - 14

SP - 430

EP - 442

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 2

ER -

Modified homotopy analysis method for solving systems of second-order BVPs

Abstract

Keywords

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