IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/672936.html
   My bibliography  Save this article

Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method

Author

Listed:
  • Gurhan Gurarslan
  • Halil Karahan
  • Devrim Alkaya
  • Murat Sari
  • Mutlu Yasar

Abstract

This study aims to produce numerical solutions of one-dimensional advection-diffusion equation using a sixth-order compact difference scheme in space and a fourth-order Runge-Kutta scheme in time. The suggested scheme here has been seen to be very accurate and a relatively flexible solution approach in solving the contaminant transport equation for . For the solution of the present equation, the combined technique has been used instead of conventional solution techniques. The accuracy and validity of the numerical model are verified through the presented results and the literature. The computed results showed that the use of the current method in the simulation is very applicable for the solution of the advection-diffusion equation. The present technique is seen to be a very reliable alternative to existing techniques for these kinds of applications.

Suggested Citation

  • Gurhan Gurarslan & Halil Karahan & Devrim Alkaya & Murat Sari & Mutlu Yasar, 2013. "Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:672936
    DOI: 10.1155/2013/672936
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/672936.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/672936.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/672936?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gurhan Gurarslan, 2021. "Sixth-Order Combined Compact Finite Difference Scheme for the Numerical Solution of One-Dimensional Advection-Diffusion Equation with Variable Parameters," Mathematics, MDPI, vol. 9(9), pages 1-14, May.
    2. Ndivhuwo Ndou & Phumlani Dlamini & Byron Alexander Jacobs, 2024. "Solving the Advection Diffusion Reaction Equations by Using the Enhanced Higher-Order Unconditionally Positive Finite Difference Method," Mathematics, MDPI, vol. 12(7), pages 1-23, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:672936. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.