Fibonacci Wavelet Collocation Method for Solving Dengue Fever SIR Model

Amit Kumar (), Ayub Khan and Abdullah Abdullah
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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

Mathematics, 2024, vol. 12, issue 16, 1-14

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.

Keywords: Fibonacci wavelet; Dengue Fever SIR model; collocation method; Fibonacci polynomials; system of ordinary differential equations; operational matrices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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