IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i18p3390-d918345.html
   My bibliography  Save this article

Numerical Analysis of Alternating Direction Implicit Orthogonal Spline Collocation Scheme for the Hyperbolic Integrodifferential Equation with a Weakly Singular Kernel

Author

Listed:
  • Qiong Huang

    (School of Pharmacy, Henan University of Chinese Medicine, Zhengzhou 450046, China)

  • Omid Nikan

    (School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran)

  • Zakieh Avazzadeh

    (Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa)

Abstract

This paper studies an alternating direction implicit orthogonal spline collocation (ADIOSC) technique for calculating the numerical solution of the hyperbolic integrodifferential problem with a weakly singular kernel in the two-dimensional domain. The integral term is approximated with the help of the second-order fractional quadrature formula introduced by Lubich. The stability and convergence analysis of the proposed strategy are proven in L 2 -norm. Numerical results highlight the high accuracy and efficiency of the proposed strategy and clarify the theoretical prediction.

Suggested Citation

  • Qiong Huang & Omid Nikan & Zakieh Avazzadeh, 2022. "Numerical Analysis of Alternating Direction Implicit Orthogonal Spline Collocation Scheme for the Hyperbolic Integrodifferential Equation with a Weakly Singular Kernel," Mathematics, MDPI, vol. 10(18), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3390-:d:918345
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/18/3390/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/18/3390/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Qiu, Wenlin & Xu, Da & Guo, Jing, 2021. "Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Daniela Inoan & Daniela Marian, 2022. "Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order," Mathematics, MDPI, vol. 10(11), pages 1-11, June.
    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.

      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:gam:jmathe:v:10:y:2022:i:18:p:3390-:d:918345. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.