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
Pages
21
From page
53
To page
73
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
Serial Year
2017
Record number
2450836
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