IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v258y2015icp105-110.html
   My bibliography  Save this article

Least squares approximation method for the solution of Hammerstein–Volterra delay integral equations

Author

Listed:
  • Mosleh, Maryam
  • Otadi, Mahmood

Abstract

In this paper, an efficient numerical method is developed for solving the Hammerstein–Volterra delay integral equations by least squares (LS) approximation method, which is based on a polynomial of degree n to compute an approximation to the solution of Hammerstein–Volterra delay integral equations. The convergence analysis of the approximation solution relative to the exact solution of the integral equation is proved and its accuracy is illustrated on two numerical examples. The study of this integral equation is important because it has as a particular case the variant of a mathematical model from epidemiology.

Suggested Citation

  • Mosleh, Maryam & Otadi, Mahmood, 2015. "Least squares approximation method for the solution of Hammerstein–Volterra delay integral equations," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 105-110.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:105-110
    DOI: 10.1016/j.amc.2015.01.100
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315001320
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.01.100?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. Abbasbandy, S., 2007. "Application of He’s homotopy perturbation method to functional integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1243-1247.
    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. Xie, Lie-jun & Zhou, Cai-lian & Xu, Song, 2018. "An effective computational method for solving linear multi-point boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 255-266.
    2. Li Zhang & Jin Huang & Hu Li & Yifei Wang, 2021. "Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay," Mathematics, MDPI, vol. 9(16), pages 1-19, August.
    3. Li Zhang & Jin Huang & Yubin Pan & Xiaoxia Wen, 2019. "A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels," Complexity, Hindawi, vol. 2019, pages 1-12, June.

    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. Moosaei, H. & Ketabchi, S. & Noor, M.A. & Iqbal, J. & Hooshyarbakhsh, V., 2015. "Some techniques for solving absolute value equations," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 696-705.
    2. Golbabai, A. & Keramati, B., 2008. "Modified homotopy perturbation method for solving Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1528-1537.
    3. H. X. Mamatova & Z. K. Eshkuvatov & Sh. Ismail, 2023. "A Hybrid Method for All Types of Solutions of the System of Cauchy-Type Singular Integral Equations of the First Kind," Mathematics, MDPI, vol. 11(20), pages 1-30, October.
    4. Jules Sadefo-Kamdem, 2011. "Integral Transforms With The Homotopy Perturbation Method And Some Applications," Working Papers hal-00580023, HAL.
    5. Cveticanin, L., 2009. "Application of homotopy-perturbation to non-linear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 221-228.
    6. Biazar, J. & Eslami, M. & Aminikhah, H., 2009. "Application of homotopy perturbation method for systems of Volterra integral equations of the first kind," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3020-3026.
    7. Beléndez, A. & Beléndez, T. & Neipp, C. & Hernández, A. & Álvarez, M.L., 2009. "Approximate solutions of a nonlinear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 746-764.
    8. Golbabai, A. & Keramati, B., 2008. "Easy computational approach to solution of system of linear Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 568-574.
    9. Biazar, J. & Ghazvini, H., 2009. "He’s homotopy perturbation method for solving systems of Volterra integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 770-777.
    10. Yusufoğlu (Agadjanov), Elcin, 2009. "Improved homotopy perturbation method for solving Fredholm type integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 28-37.
    11. Golbabai, A. & Keramati, B., 2009. "Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2316-2321.
    12. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.

    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:258:y:2015:i:c:p:105-110. 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.