IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v349y2019icp393-407.html
   My bibliography  Save this article

Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms

Author

Listed:
  • Khalid, Nauman
  • Abbas, Muhammad
  • Iqbal, Muhammad Kashif

Abstract

In this article, we have explored the numerical solution of fourth order fractional boundary value problems, involving product terms, by means of quintic spline collocation method. The proposed numerical approach is based on non-polynomial quintic spline functions comprised of a trigonometric part and polynomial part. The second and fourth order convergence of the presented algorithm has been discussed rigorously. Some test examples have been considered and the approximate results are found to be more accurate as compared to the other variants on the topic.

Suggested Citation

  • Khalid, Nauman & Abbas, Muhammad & Iqbal, Muhammad Kashif, 2019. "Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 393-407.
  • Handle: RePEc:eee:apmaco:v:349:y:2019:i:c:p:393-407
    DOI: 10.1016/j.amc.2018.12.066
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318311275
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2018.12.066?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. Ezz-Eldien, S.S., 2018. "On solving systems of multi-pantograph equations via spectral tau method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 63-73.
    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. Zafar, Zain Ul Abadin & Younas, Samina & Hussain, Muhammad Tanveer & Tunç, Cemil, 2021. "Fractional aspects of coupled mass-spring system," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Sarita Gajbhiye Meshram & Vijay P. Singh & Ozgur Kisi & Chandrashekhar Meshram, 2021. "Soil erosion modeling of watershed using cubic, quadratic and quintic splines," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 108(3), pages 2701-2719, September.

    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. Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Guirao, Juan L.G. & Saeed, Tareq, 2021. "Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Izadi, Mohammad & Srivastava, H.M., 2021. "An efficient approximation technique applied to a non-linear Lane–Emden pantograph delay differential model," Applied Mathematics and Computation, Elsevier, vol. 401(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:eee:apmaco:v:349:y:2019:i:c:p:393-407. 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.