IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i18p2324-d639016.html
   My bibliography  Save this article

The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations

Author

Listed:
  • Bogdan Căruntu

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    Both authors contributed equally to this work.)

  • Mădălina Sofia Paşca

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    Department of Mathematics, West University of Timişoara, 300223 Timişoara, Romania
    Both authors contributed equally to this work.)

Abstract

We present a relatively new and very efficient method to find approximate analytical solutions for a very general class of nonlinear fractional Volterra and Fredholm integro-differential equations. The test problems included and the comparison with previous results by other methods clearly illustrate the simplicity and accuracy of the method.

Suggested Citation

  • Bogdan Căruntu & Mădălina Sofia Paşca, 2021. "The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations," Mathematics, MDPI, vol. 9(18), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2324-:d:639016
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/18/2324/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/18/2324/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jian Rong Loh & Chang Phang & Abdulnasir Isah, 2017. "New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-12, January.
    2. Rohaninasab, N. & Maleknejad, K. & Ezzati, R., 2018. "Numerical solution of high-order Volterra–Fredholm integro-differential equations by using Legendre collocation method," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 171-188.
    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. SAIRA & Wen-Xiu Ma, 2022. "An Approximation Method to Compute Highly Oscillatory Singular Fredholm Integro-Differential Equations," Mathematics, MDPI, vol. 10(19), pages 1-16, October.
    2. Liu, Hongyan & Huang, Jin & Zhang, Wei, 2021. "Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 396(C).

    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:9:y:2021:i:18:p:2324-:d:639016. 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.