IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i02ns0218348x23400170.html
   My bibliography  Save this article

Numerical Assessment Of The Brain Tumor Growth Model Via Fibonacci And Haar Wavelets

Author

Listed:
  • NAIED AHMAD NAYIED

    (Department of Mathematics, University of Kashmir, Srinagar 190006, Jammu and kashmir, India)

  • FIRDOUS AHMAD SHAH

    (��Department of Mathematics, University of Kashmir, Anantnag 192101, Jammu and Kashmir, India)

  • KOTTAKKARAN SOOPPY NISAR

    (��Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, Saudi Arabia)

  • MUKHTAR AHMAD KHANDAY

    (Department of Mathematics, University of Kashmir, Srinagar 190006, Jammu and kashmir, India)

  • SAIMA HABEEB

    (�Rufaida College of Nursing, Jamia Hamdard, New Delhi 110019, India)

Abstract

The main goal of this paper is to present a novel numerical scheme based on the Fibonacci wavelets for solving the brain tumor growth model governed by the Burgess equation. At the first instance, the Fibonacci-wavelet-based operational matrices of integration are obtained by following the well-known Chen–Hsiao technique. These matrices play a vital role in converting the said model into an algebraic system, which could be handled with any standard numerical method. To access the effect of medical treatment over the brain tumor growth, we have investigated both the linear and nonlinear cases of Burgess equation. The nonlinearity arising in the Burgess equation is handled by invoking the quasilinearization technique. In order to compare the efficiency of the Fibonacci-wavelet-based numerical technique, we formulated an analogous numerical scheme based on the Haar wavelets. Subsequently, both the methods are testified on several test problems and it is demonstrated that the Fibonacci wavelet method yields a much more stable solution and a better approximation than the Haar wavelet method.

Suggested Citation

  • Naied Ahmad Nayied & Firdous Ahmad Shah & Kottakkaran Sooppy Nisar & Mukhtar Ahmad Khanday & Saima Habeeb, 2023. "Numerical Assessment Of The Brain Tumor Growth Model Via Fibonacci And Haar Wavelets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-17.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:02:n:s0218348x23400170
    DOI: 10.1142/S0218348X23400170
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400170
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23400170?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.

    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:wsi:fracta:v:31:y:2023:i:02:n:s0218348x23400170. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/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.