Title
Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method.
Abstract
In this paper, a new method for solving coupled systems of nonlinear fractional order integro-differential equations is proposed. The idea is to use Bernoulli wavelets and operational matrix. The main purpose of the technique is to transform the studied systems of fractional order integro-differential equations into systems of algebraic equations which can be solved easily. Illustrative examples and comparisons with Haar wavelets and Legendre wavelets are included to reveal the effectiveness of the method and the accuracy of the convergence analysis.
Year
DOI
Venue
2018
10.1016/j.amc.2017.12.010
Applied Mathematics and Computation
Keywords
Field
DocType
Bernoulli wavelets,Operational matrix,Systems of fractional order integro-differential equations,Numerical solutions,Convergence analysis
Convergence (routing),Differential equation,Nonlinear system,Computer simulation,Mathematical analysis,Legendre wavelet,Algebraic equation,Mathematics,Bernoulli's principle,Wavelet
Journal
Volume
ISSN
Citations 
324
0096-3003
0
PageRank 
References 
Authors
0.34
12
4
Name
Order
Citations
PageRank
Jiao Wang1178.27
Tian-Zhou Xu2355.97
Yan-Qiao Wei3183.48
Jiaquan Xie411.74