Approximate solutions of singular two-point BVPs by modified homotopy analysis method

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

doi:10.1016/j.physleta.2008.03.026

Approximate solutions of singular two-point BVPs by modified homotopy analysis method

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

Universiti Kebangsaan Malaysia

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

47 Scopus citations

Abstract

In this Letter, approximate solutions of singular two-point boundary value problems (BVPs) are obtained by the modified homotopy analysis methods (MHAM). MHAM provides a convenient way of controlling the convergence region and rate of the series solution. The numerical tests show the capability of MHAM for singular BVPs.

Original language	English
Pages (from-to)	4062-4066
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2008.03.026
State	Published - 26 May 2008
Externally published	Yes

Keywords

Modified homotopy analysis method
Series solutions
Singular two-point boundary value problems

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10.1016/j.physleta.2008.03.026

Cite this

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title = "Approximate solutions of singular two-point BVPs by modified homotopy analysis method",

abstract = "In this Letter, approximate solutions of singular two-point boundary value problems (BVPs) are obtained by the modified homotopy analysis methods (MHAM). MHAM provides a convenient way of controlling the convergence region and rate of the series solution. The numerical tests show the capability of MHAM for singular BVPs.",

keywords = "Modified homotopy analysis method, Series solutions, Singular two-point boundary value problems",

author = "Bataineh, \{A. Sami\} and Noorani, \{M. S.M.\} and I. Hashim",

year = "2008",

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doi = "10.1016/j.physleta.2008.03.026",

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T1 - Approximate solutions of singular two-point BVPs by modified homotopy analysis method

AU - Bataineh, A. Sami

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2008/5/26

Y1 - 2008/5/26

N2 - In this Letter, approximate solutions of singular two-point boundary value problems (BVPs) are obtained by the modified homotopy analysis methods (MHAM). MHAM provides a convenient way of controlling the convergence region and rate of the series solution. The numerical tests show the capability of MHAM for singular BVPs.

AB - In this Letter, approximate solutions of singular two-point boundary value problems (BVPs) are obtained by the modified homotopy analysis methods (MHAM). MHAM provides a convenient way of controlling the convergence region and rate of the series solution. The numerical tests show the capability of MHAM for singular BVPs.

KW - Modified homotopy analysis method

KW - Series solutions

KW - Singular two-point boundary value problems

UR - https://www.scopus.com/pages/publications/43049137269

U2 - 10.1016/j.physleta.2008.03.026

DO - 10.1016/j.physleta.2008.03.026

M3 - Article

AN - SCOPUS:43049137269

SN - 0375-9601

VL - 372

SP - 4062

EP - 4066

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 22

ER -

Approximate solutions of singular two-point BVPs by modified homotopy analysis method

Abstract

Keywords

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