Title of article :
Wavelet-based numerical method for solving fractional integro-differential equation with a weakly singular kernel
Author/Authors :
Mohammadi, Fakhrodin Department of Mathematics - University of Hormozgan - Bandarabbas, Islamic Republic of Iran , Cianciob, Armando Department of Biomedical Sciences and Morphological and Functional Imaging - University of Messina - via Consolare Valeria 1 - 98125 MESSINA, Italy
Abstract :
This paper describes and compares application of wavelet basis
and Block-Pulse functions (BPFs) for solving fractional integrodifferential
equation (FIDE) with a weakly singular kernel. First,
a collocation method based on Haar wavelets (HW), Legendre
wavelet (LW), Chebyshev wavelets (CHW), second kind
Chebyshev wavelets (SKCHW), Cos and Sin wavelets (CASW)
and BPFs are presented for driving approximate solution FIDEs
with a weakly singular kernel. Error estimates of all proposed
numerical methods are given to test the convergence and accuracy
of the method. A comparative study of accuracy and
computational time for the presented techniques is given.
Keywords :
Fractional integro-differential equation , Collocation method , Wavelet basis
Journal title :
Astroparticle Physics
