## Özet

Up to tenth-order finite difference schemes are proposed in this paper to solve one-dimensional advection-diffusion equation. The schemes based on high-order differences are presented using Taylor series expansion. To obtain the solutions, up to tenth-order finite difference schemes in space and a fourth-order Runge-Kutta scheme in time have been combined. The methods are implemented to solve two problems having exact solutions. Numerical experiments have been conducted to demonstrate the efficiency and high-order accuracy of the current methods. The techniques are seen to be very accurate in solving the advection-diffusion equation for Pe ≤ 5. The produced results are also seen to be more accurate than some available results given in the literature.

Orijinal dil | İngilizce |
---|---|

Sayfa (başlangıç-bitiş) | 449-460 |

Sayfa sayısı | 12 |

Dergi | Mathematical and Computational Applications |

Hacim | 15 |

Basın numarası | 3 |

DOI'lar | |

Yayın durumu | Yayınlandı - 2010 |

Harici olarak yayınlandı | Evet |