IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v399y2021ics0096300321000825.html
   My bibliography  Save this article

Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2

Author

Listed:
  • Zhao, Jingjun
  • Jiang, Xingzhou
  • Xu, Yang

Abstract

In this paper, we propose block boundary value methods to solve the initial value problem of delay differential algebraic equations. For the problems with index-1 and index-2, we give the error estimate of the proposed methods respectively. It is shown that, under certain conditions, the convergence order of the proposed methods is consistent with the underlying one in the case of ordinary differential equations. Finally, some numerical experiments are carried out to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Zhao, Jingjun & Jiang, Xingzhou & Xu, Yang, 2021. "Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    • Handle: RePEc:eee:apmaco:v:399:y:2021:i:c:s0096300321000825
    DOI: 10.1016/j.amc.2021.126034
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321000825
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126034?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. Zhang, Chengjian & Chen, Hao, 2010. "Asymptotic stability of block boundary value methods for delay differential-algebraic equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 100-108.
    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. Chen, Hao & Huang, Qiuyue, 2020. "Kronecker product based preconditioners for boundary value method discretizations of space fractional diffusion equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 316-331.
    2. Kumar, Surendra & Sharma, Abhishek & Pal Singh, Harendra, 2021. "Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Zhao, Jingjun & Jiang, Xingzhou & Xu, Yang, 2022. "A kind of generalized backward differentiation formulae for solving fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    4. Wang, Huiru & Zhang, Chengjian & Zhou, Yongtao, 2018. "A class of compact boundary value methods applied to semi-linear reaction–diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 69-81.
    5. Yan, Xiaoqiang & Zhang, Chengjian, 2019. "Solving nonlinear functional–differential and functional equations with constant delay via block boundary value methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 21-32.

    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:399:y:2021:i:c:s0096300321000825. 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.