A fast numerical algorithm based on the second kind Chebyshev polynomials for fractional integro-differential equations with weakly singular kernels
type: Item
instance of: scholarly article
title: A fast numerical algorithm based on the second kind Chebyshev polynomials for fractional integro-differential equations with weakly singular kernels
zbMATH Open document ID: 1348.65182
author: S. Nemati
author: S. Sedaghat
author: I. Mohammadi
published in: Journal of Computational and Applied Mathematics
publication date: 2016-08-16T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 6617302
zbMATH Keywords: fractional integro-differential equation
zbMATH Keywords: second kind Chebyshev polynomials
zbMATH Keywords: operational matrix
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: error estimate
zbMATH Keywords: numerical example
zbMATH Keywords: spectral method
zbMATH Keywords: singular kernel
MaRDI profile type: Publication
full work available at URL: j.cam.2016.06.012
OpenAlex ID: W2442328933
cites work: A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
cites work: Fractional calculus in the transient analysis of viscoelastically damped structures
cites work: Solution of fractional integro-differential equations by using fractional differential transform method
cites work: Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
cites work: Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
cites work: Application of the collocation method for solving nonlinear fractional integro-differential equations
cites work: Q4791731
cites work: Solution of a class of Volterra integral equations with singular and weakly singular kernels
cites work: Analysis of fractional differential equations
cites work: Q4233638
cites work: Q4526161
cites work: Q5453954
cites work: Collocation methods for fractional integro-differential equations with weakly singular kernels
cites work: Q4791752
cites work: Spectral Methods
cites work: Q3511011
cites work: Q4830896
DOI: 10.1016/J.CAM.2016.06.012
description: scientific article; zbMATH DE number 6617302