IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v245y2026icp685-697.html

Symmetric stabilized FEM for time-fractional convection–diffusion–reaction equations

Author

Listed:
  • Ahmed, Naveed
  • Karaa, Samir
  • Jha, Abhinav

Abstract

This paper presents a stabilized finite element method for solving time-fractional convection–diffusion–reaction equations. The approach combines a symmetric stabilization technique in space with a time-stepping method based on a convolution quadrature generated by the backward method and an L1 finite difference scheme. The stability of the semi-discrete problem is analyzed, and optimal error estimates are initially derived under high regularity assumptions on the initial condition and the solution. To relax these regularity requirements, a refined energy technique is employed, extending the error analysis to nonsmooth initial conditions and increasing the method’s applicability. Numerical simulations are presented, confirming the effectiveness and accuracy of the proposed scheme.

Suggested Citation

  • Ahmed, Naveed & Karaa, Samir & Jha, Abhinav, 2026. "Symmetric stabilized FEM for time-fractional convection–diffusion–reaction equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 245(C), pages 685-697.
    • Handle: RePEc:eee:matcom:v:245:y:2026:i:c:p:685-697
    DOI: 10.1016/j.matcom.2026.02.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475426000492
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2026.02.003?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    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:eee:matcom:v:245:y:2026:i:c:p:685-697. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.