Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method

Seripah Awang Kechil; Ishak Hashim

doi:10.1016/j.physleta.2006.11.054

Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method

Seripah Awang Kechil
, Ishak Hashim

Universiti Teknologi MARA
Universiti Kebangsaan Malaysia

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

42 Scopus citations

Abstract

A free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations is considered. The system is solved using the Adomian decomposition method (ADM) which yields an analytic solution in the form of a rapidly convergent infinite series with easily computable terms. The analytical solutions and the pertinent features of the illustrations show the efficiency of the method.

Original language	English
Pages (from-to)	110-114
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	363
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2006.11.054
State	Published - 19 Mar 2007
Externally published	Yes

Keywords

Adomian decomposition method
Free-convective
Nonlinear systems ODEs
Padé approximant
Similar boundary-layer

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10.1016/j.physleta.2006.11.054

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abstract = "A free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations is considered. The system is solved using the Adomian decomposition method (ADM) which yields an analytic solution in the form of a rapidly convergent infinite series with easily computable terms. The analytical solutions and the pertinent features of the illustrations show the efficiency of the method.",

keywords = "Adomian decomposition method, Free-convective, Nonlinear systems ODEs, Pad{\'e} approximant, Similar boundary-layer",

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AU - Hashim, Ishak

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N2 - A free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations is considered. The system is solved using the Adomian decomposition method (ADM) which yields an analytic solution in the form of a rapidly convergent infinite series with easily computable terms. The analytical solutions and the pertinent features of the illustrations show the efficiency of the method.

AB - A free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations is considered. The system is solved using the Adomian decomposition method (ADM) which yields an analytic solution in the form of a rapidly convergent infinite series with easily computable terms. The analytical solutions and the pertinent features of the illustrations show the efficiency of the method.

KW - Adomian decomposition method

KW - Free-convective

KW - Nonlinear systems ODEs

KW - Padé approximant

KW - Similar boundary-layer

UR - https://www.scopus.com/pages/publications/33846640787

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

IS - 1-2

ER -

Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method

Abstract

Keywords

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