Haar wavelet method for solution of distributed order time-fractional differential equations
Rohul Amin, B. Alshahrani, Mona Mahmoud, Abdel‐Haleem Abdel‐Aty, Kamal Shah, Wejdan Deebani
Abstract
This manuscript is related to compute approximate solutions for a class of fractional distributed order differential equations (FDODEs). The corresponding derivative of fractional order is taken in Caputo sense. The adopted numerical scheme is based on collocation method together with Haar wavelet. This is an efficient numerical algorithm which convert the consider problem to a some system of equations of algebraic type. Upon utilizing the Broyden tools the obtain nonlinear system is solved for the intended numerical results. Further in case of linear equations the obtained system is solved by Gauss elimination procedure. To strengthen our results we testify several problems corresponding to different collocation points. We present also maximum absolute and root mean square errors. The graphical presentations are also given.