IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v349y2019icp325-336.html
   My bibliography  Save this article

Space-time spectral method for the Cattaneo equation with time fractional derivative

Author

Listed:
  • Li, Hui
  • Jiang, Wei
  • Li, Wenya

Abstract

This paper introduces a high-order accurate numerical method for solving the Cattaneo equation with time fractional derivative. It is based on the Galerkin–Legendre spectral method in space and the Chebyshev collocation method in time. Arbitrarily high-order accurate can be made in both space and time. Optimal priori error bound of the semi-discrete method and the stability and convergence of the full-discrete method are strictly given. Extensive experimental results confirm the theoretical claims of this method in both space and time.

Suggested Citation

  • Li, Hui & Jiang, Wei & Li, Wenya, 2019. "Space-time spectral method for the Cattaneo equation with time fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 325-336.
  • Handle: RePEc:eee:apmaco:v:349:y:2019:i:c:p:325-336
    DOI: 10.1016/j.amc.2018.12.050
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318311111
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2018.12.050?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ran, Yu-Hong & Wang, Jun-Gang & Wang, Dong-Ling, 2015. "On HSS-like iteration method for the space fractional coupled nonlinear Schrödinger equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 482-488.
    2. Alvarez-Ramirez, Jose & Fernandez-Anaya, Guillermo & Valdes-Parada, Francisco J. & Alberto Ochoa-Tapia, J., 2006. "A high-order extension for the Cattaneo's diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 345-354.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fernandez-Anaya, G. & Valdes-Parada, F.J. & Alvarez-Ramirez, J., 2011. "On generalized fractional Cattaneo’s equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4198-4202.

    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:eee:apmaco:v:349:y:2019:i:c:p:325-336. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.