### Abstract

The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results obtained by other researchers. The comparison shows that the obtained results with the rational Chebyshev collocation method are more accurate.

Original language | English |
---|---|

Pages (from-to) | 47-58 |

Number of pages | 12 |

Journal | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |

Volume | 74 |

Issue number | 4 |

Publication status | Published - 2012 |

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### Keywords

- Boundary-layer
- Collocation method
- Non-linear stretching
- Rational Chebyshev polynomials

### ASJC Scopus subject areas

- Applied Mathematics
- Physics and Astronomy(all)

### Cite this

*UPB Scientific Bulletin, Series A: Applied Mathematics and Physics*,

*74*(4), 47-58.

**An approximate solution of the MHD flow over a non-linear stretching sheet by rational Chebyshev collocation method.** / Abbasbandy, Saeid; Ghehsareh, H. Roohani; Hashim, Ishak.

Research output: Contribution to journal › Article

*UPB Scientific Bulletin, Series A: Applied Mathematics and Physics*, vol. 74, no. 4, pp. 47-58.

}

TY - JOUR

T1 - An approximate solution of the MHD flow over a non-linear stretching sheet by rational Chebyshev collocation method

AU - Abbasbandy, Saeid

AU - Ghehsareh, H. Roohani

AU - Hashim, Ishak

PY - 2012

Y1 - 2012

N2 - The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results obtained by other researchers. The comparison shows that the obtained results with the rational Chebyshev collocation method are more accurate.

AB - The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results obtained by other researchers. The comparison shows that the obtained results with the rational Chebyshev collocation method are more accurate.

KW - Boundary-layer

KW - Collocation method

KW - Non-linear stretching

KW - Rational Chebyshev polynomials

UR - http://www.scopus.com/inward/record.url?scp=84871647118&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871647118&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84871647118

VL - 74

SP - 47

EP - 58

JO - UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

JF - UPB Scientific Bulletin, Series A: Applied Mathematics and Physics

SN - 1223-7027

IS - 4

ER -