Fibonacci Wavelet Collocation Method for Solving Dengue Fever SIR Model

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