IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v167y2023ics0960077922011912.html
   My bibliography  Save this article

On the convergence of finite integration method for system of ordinary differential equations

Author

Listed:
  • Soradi-Zeid, Samaneh
  • Mesrizadeh, Mehdi

Abstract

The current work investigates basic theory of finite integration method for first-order system of ordinary differential equations. We firstly investigate the error analysis of generalized finite integration methods which are constructed by ordinary linear approach. Then, the basic concepts of the error bounded theorems are discussed for a spectral meshless method derived from quadrature rule producing by radial point collocation method. By applying the finite integration methods for the first-order system of ordinary differential equation, we compare the accuracy residual error of the presented methods. The convergence of finite integration methods is proposed to confirm the standard criteria with theoretically accurate results. Finally, we extend the results for n-order system of ordinary differential equations.

Suggested Citation

  • Soradi-Zeid, Samaneh & Mesrizadeh, Mehdi, 2023. "On the convergence of finite integration method for system of ordinary differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922011912
    DOI: 10.1016/j.chaos.2022.113012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922011912
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.113012?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. Liu, Hong-Zhun, 2022. "A modification to the first integral method and its applications," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    2. Verdière, Nathalie & Manceau, David & Zhu, Shousheng & Denis-Vidal, Lilianne, 2020. "Inverse problem for a coupling model of reaction-diffusion and ordinary differential equations systems. Application to an epidemiological model," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    3. Qiu, Xing & Xu, Tao & Soltanalizadeh, Babak & Wu, Hulin, 2022. "Identifiability analysis of linear ordinary differential equation systems with a single trajectory," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    4. Yun, D.F. & Wen, Z.H. & Hon, Y.C., 2015. "Adaptive least squares finite integration method for higher-dimensional singular perturbation problems with multiple boundary layers," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 232-250.
    5. Chang, Shuenn-Yih, 2022. "A family of matrix coefficient formulas for solving ordinary differential equations," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Shi, C.Z. & Zheng, H. & Hon, Y.C. & Wen, P.H., 2024. "Generalized finite integration method for 2D elastostatic and elastodynamic analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 580-594.

    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. Wei, H. & Pan, Q.X. & Adetoro, O.B. & Avital, E. & Yuan, Y. & Wen, P.H., 2020. "Dynamic large deformation analysis of a cantilever beam," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 183-204.
    2. Shi, C.Z. & Zheng, H. & Hon, Y.C. & Wen, P.H., 2024. "Generalized finite integration method for 2D elastostatic and elastodynamic analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 580-594.
    3. Ampol Duangpan & Ratinan Boonklurb & Tawikan Treeyaprasert, 2019. "Finite Integration Method with Shifted Chebyshev Polynomials for Solving Time-Fractional Burgers’ Equations," Mathematics, MDPI, vol. 7(12), pages 1-24, December.

    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:chsofr:v:167:y:2023:i:c:s0960077922011912. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.