A numerical approach for solving boundary value problems for fractional differential equations using Shannon wavelet
Abstract
In this paper, Shannon Wavelet Method (SWM) is proposed to approximate solutions for boundary value problems for fractional order differential equations. Shannon wavelets operational matrices of integration are utilized to approximate the solutions in the form of convergent series with easily computable terms. Numerical examples are provided to demonstrate the accuracy, efficiency and simplicity of the proposed Shannon wavelet method.
Copyright © 2016 Raghvendra Singh Chandel, Amardeep Singh, Devendra Chouhan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. S. Chandel, A. Singh, D. Chouhan, A numerical approach for solving boundary value problems for fractional differential equations using Shannon wavelet, J. Math. Comput. Sci. 6 (2016), 1085–1099.
BibTeX
@article{Chandel2016,
author = {Chandel, Raghvendra Singh and Singh, Amardeep and Chouhan, Devendra},
title = {A numerical approach for solving boundary value problems for fractional differential equations using Shannon wavelet},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {1085--1099},
doi = {}
}