A Jacobi spectral collocation method for solving fractional integro-differential equations
type: Item
instance of: scholarly article
title: A Jacobi spectral collocation method for solving fractional integro-differential equations
zbMATH Open document ID: 1499.65582
author: Qingqing Wu
author: Zhongshu Wu
author: X. Zeng
published in: Communications on Applied Mathematics and Computation
publication date: 2022-02-22T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 7479334
zbMATH Keywords: fractional integro-differential equation
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Jacobi spectral collocation method
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
full work available at URL: s42967-020-00099-x
OpenAlex ID: W3136249875
Wikidata QID: Q115370658
cites work: A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
cites work: Spectral Methods
cites work: Static-kinematic duality and the principle of virtual work in the mechanics of fractal media
cites work: Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: Local discontinuous Galerkin methods for fractional ordinary differential equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: A new Jacobi operational matrix: an application for solving fractional differential equations
cites work: Application of the collocation method for solving nonlinear fractional integro-differential equations
cites work: A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
cites work: SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS
cites work: An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
cites work: Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
cites work: Bernstein modal basis: Application to the spectral Petrov-Galerkin method for fractional partial differential equations
cites work: Q5699297
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Fractional differentiation matrices with applications
cites work: Spectral approximations to the fractional integral and derivative
cites work: Spectral collocation method for linear fractional integro-differential equations
cites work: Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
cites work: Reconstruction of exponentially rate of convergence to Legendre collocation solution of a class of fractional integro-differential equations
cites work: Mean Convergence of Lagrange Interpolation. III
cites work: Polynomial Approximation on Compact Manifolds and Homogeneous Spaces
cites work: A new operational matrix for solving fractional-order differential equations
cites work: A Legendre collocation method for fractional integro-differential equations
cites work: Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
cites work: A fast method for solving second Order boundary value volterra Integro-differential equations
cites work: Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
cites work: Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
cites work: A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations
cites work: A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities
cites work: Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
DOI: 10.1007/S42967-020-00099-X
description: scientific article; zbMATH DE number 7479334