Numerical Solution of A Class of Caputo-Fabrizio Fractional-order Differential Equations Using Higher Order Haar Wavelet Method
Higher order Haar wavelet collocation method is used to solve a class of Caputo-Fabrizio fractional differential equations.Through Caputo-Fabrizio fractional integration,the original equa-tion is transformed into an equivalent second order ordinary differential equation,and then combined with higher order Haar wavelet collocation method,the obtained ordinary differential equation is transformed into a system of linear algebra equations.Numerical experiments have shown that using a very small scale J can achieve satisfactory numerical results,and increasing the scale J can obtain the numerical solutions with higher accuracy.The algorithm is stable and has some application value.
higher order Haar waveletCaputo-Fabrizio derivativeordinary differential equationcollocation method
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