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Fibonacci Wavelet Collocation Method for Solving Dengue Fever SIR Model

Author

Listed:
  • Amit Kumar

    (Department of Mathematics, Atma Ram Sanatan Dharma College, University of Delhi, New Delhi 110021, India)

  • Ayub Khan

    (Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India)

  • Abdullah Abdullah

    (Department of Mathematics, Zakir Husain Delhi College, University of Delhi, New Delhi 110002, India)

Abstract

The main focus in this manuscript is to find a numerical solution of a dengue fever disease model by using the Fibonacci wavelet method. The operational matrix of integration has been obtained using Fibonacci wavelets. The proposed method is called Fibonacci wavelet collocation method (FWCM). This biological model has been transformed into a system of nonlinear algebraic equations by using the Fibonacci wavelet collocation scheme. Afterward, this system has been solved by using the Newton–Raphson method. Finally, we provide evidence that our results are better than those obtained by various current approaches, both numerically and graphically, demonstrating the method’s accuracy and efficiency.

Suggested Citation

  • Amit Kumar & Ayub Khan & Abdullah Abdullah, 2024. "Fibonacci Wavelet Collocation Method for Solving Dengue Fever SIR Model," Mathematics, MDPI, vol. 12(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2565-:d:1459858
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    References listed on IDEAS

    as
    1. Bulut, Fatih & Oruç, Ömer & Esen, Alaattin, 2022. "Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 277-290.
    2. Samir Bhatt & Peter W. Gething & Oliver J. Brady & Jane P. Messina & Andrew W. Farlow & Catherine L. Moyes & John M. Drake & John S. Brownstein & Anne G. Hoen & Osman Sankoh & Monica F. Myers & Dylan , 2013. "The global distribution and burden of dengue," Nature, Nature, vol. 496(7446), pages 504-507, April.
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