An improved collocation method for solving a fractional integro-differential equation
type: Item
instance of: scholarly article
title: An improved collocation method for solving a fractional integro-differential equation
zbMATH Open document ID: 1465.65064
author: Xiaoguang Zhang
author: Hong Du
published in: Computational and Applied Mathematics
publication date: 2021-05-28T00:00:00Z
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 7351848
zbMATH Keywords: collocation method
zbMATH Keywords: integro-differential equation
zbMATH Keywords: superconvergence
zbMATH Keywords: reproducing kernel space
zbMATH Keywords: \( \varepsilon\) approximate solutions
MaRDI profile type: Publication
full work available at URL: s40314-020-01409-y
OpenAlex ID: W3122638314
Wikidata QID: Q115373731
cites work: POLYNOMIAL AND RATIONAL WAVE SOLUTIONS OF KUDRYASHOV-SINELSHCHIKOV EQUATION AND NUMERICAL SIMULATIONS FOR ITS DYNAMIC MOTIONS
cites work: Q3572296
cites work: Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series
cites work: Spectral Methods
cites work: Exact solution of a class of fractional integro‐differential equations with the weakly singular kernel based on a new fractional reproducing kernel space
cites work: Q3633379
cites work: Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations
cites work: A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation
cites work: Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations
cites work: An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
cites work: On spectral methods for Volterra-type integro-differential equations
cites work: A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
cites work: Spectral collocation method for linear fractional integro-differential equations
cites work: A reproducing kernel method for solving heat conduction equations with delay
cites work: Q5319785
cites work: An \(hp\)-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels
cites work: A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
cites work: General Fractional Derivatives
cites work: A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations
DOI: 10.1007/S40314-020-01409-Y
description: scientific article; zbMATH DE number 7351848