## Abstract

Consideration is given to a class of nonlinear third-order differential equations arising in fluid flow over a nonlinearly stretching sheet. Existence of a solution of the nonlinear third-order differential equation over 0<η<∞ is established in this paper, answering the open question of Vajravelu and Cannon (Appl. Math. Comput. 2006; 181:609-618). That is, we prove with estimates independent of R for solutions of the third-order differential equation on [0,R]. The existence of a solution on 0<η<∞ follows from the Ascoli-Arzela Theorem. Furthermore, numerical solutions are obtained and presented through graphs, and the influence of the physical parameter on the flow characteristics is discussed.

Original language | English |
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Pages (from-to) | 601-606 |

Number of pages | 6 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 33 |

Issue number | 5 |

DOIs | |

Publication status | Published - Mar 30 2010 |

## All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)