### 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 |
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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 | |

Publication status | Published - 19 Mar 2007 |

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### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method.** / Kechil, Seripah Awang; Hashim, Ishak.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 363, no. 1-2, pp. 110-114. https://doi.org/10.1016/j.physleta.2006.11.054

}

TY - JOUR

T1 - Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method

AU - Kechil, Seripah Awang

AU - Hashim, Ishak

PY - 2007/3/19

Y1 - 2007/3/19

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 - http://www.scopus.com/inward/record.url?scp=33846640787&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846640787&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2006.11.054

DO - 10.1016/j.physleta.2006.11.054

M3 - Article

VL - 363

SP - 110

EP - 114

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

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

SN - 0375-9601

IS - 1-2

ER -