Modified spline collocation for linear fractional differential equations
type: Item
instance of: scholarly article
title: Modified spline collocation for linear fractional differential equations
zbMATH Open document ID: 1311.65094
author: Marek Kolk
author: Enn Tamme
author: Arvet Pedas
published in: Journal of Computational and Applied Mathematics
publication date: 2015-03-24T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 6419090
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: smoothing transformation
zbMATH Keywords: spline collocation method
zbMATH Keywords: initial value problem
zbMATH Keywords: global convergence
zbMATH Keywords: supercomvergence
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: j.cam.2015.01.021
OpenAlex ID: W2065919483
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
cites work: Q5699297
cites work: Q4233638
cites work: Q3141895
cites work: A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
cites work: An efficient parallel algorithm for the numerical solution of fractional differential equations
cites work: Q3006513
cites work: On shifted Jacobi spectral approximations for solving fractional differential equations
cites work: Application of the collocation method for solving nonlinear fractional integro-differential equations
cites work: Spectral collocation method for linear fractional integro-differential equations
cites work: Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
cites work: Numerical solution of nonlinear fractional differential equations by spline collocation methods
cites work: Spline collocation for nonlinear fractional boundary value problems
cites work: Higher order numerical methods for solving fractional differential equations
cites work: Q3750978
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
cites work: On the convergence of spline collocation methods for solving fractional differential equations
cites work: Spline collocation methods for linear multi-term fractional differential equations
cites work: A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
cites work: Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
cites work: Nonpolynomial collocation approximation of solutions to fractional differential equations
cites work: Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations
cites work: Numerical solution of fractional integro-differential equations by a hybrid collocation method
cites work: Collocation methods for second-kind Volterra integral equations with weakly singular kernels
cites work: A new approach to the numerical solution of weakly singular Volterra integral equations.
cites work: Collocation methods for fractional integro-differential equations with weakly singular kernels
cites work: Multidimensional weakly singular integral equations
cites work: Q3156273
cites work: Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
cites work: NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS WHICH MAY HAVE A BOUNDARY SINGULARITY
cites work: High-Order Methods for Volterra Integral Equations with General Weak Singularities
cites work: Numerical solution of Volterra integral equations with singularities
cites work: Q2981008
cites work: Numerical computation of weakly singular integrals
DOI: 10.1016/J.CAM.2015.01.021
description: scientific article; zbMATH DE number 6419090