Numerical Approach Based on the Haar Wavelet Collocation Method for Solving a Coupled System with the Caputo–Fabrizio Fractional Derivative

In the present paper, we consider an effective computational method to analyze a coupled dynamical system with Caputo–Fabrizio fractional derivative. The method is based on expanding the approximate solution into a symmetry Haar wavelet basis. The Haar wavelet coefficients are obtained by using the collocation points to solve an algebraic system of equations in mathematical physics. The error analysis of this method is characterized by a good convergence rate. Finally, some numerical examples are presented to prove the accuracy and effectiveness of this method.

• Haar wavelet collocation method
• Caputo-Fabrizio derivative
• coupled dynamical systems
• fractional differential equations
• numerical solution
• convergence analysis
• error analysis

• Fractional Differential Equations Solutions
• Numerical methods for differential equations
• Fuzzy Systems and Optimization
• Haar wavelet collocation method
• Caputo-Fabrizio derivative
• coupled dynamical systems
• fractional differential equations
• numerical solution
• convergence analysis
• error analysis
• Modeling and Simulation
• Numerical Analysis
• Statistics and Probability
• Mathematics