Two-step collocation methods for fractional differential equations
From MaRDI portal
Publication:1670358
DOI10.3934/dcdsb.2018088zbMath1398.65158OpenAlexW2791210196MaRDI QIDQ1670358
Dajana Conte, Beatrice Paternoster, Angelamaria Cardone
Publication date: 5 September 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018088
Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items (9)
A spectral method for stochastic fractional differential equations ⋮ Stability of two-step spline collocation methods for initial value problems for fractional differential equations ⋮ A sparse kernel approximate method for fractional boundary value problems ⋮ Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems ⋮ Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations ⋮ Stability analysis of spline collocation methods for fractional differential equations ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ Multivalue second derivative collocation methods ⋮ Numerical conservation laws of time fractional diffusion PDEs
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-step diagonally-implicit collocation based methods for Volterra integral equations
- Two-step modified collocation methods with structured coefficient matrices
- On the convergence of spline collocation methods for solving fractional differential equations
- Exponential fitting direct quadrature methods for Volterra integral equations
- On accurate product integration rules for linear fractional differential equations
- Multidimensional weakly singular integral equations
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Convergence of a \(p\)-version/\(hp\)-version method for fractional differential equations
- Multistep collocation methods for Volterra integro-differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- An adaptive method for Volterra-Fredholm integral equations on the half line
- Fast numerical solution of weakly singular Volterra integral equations
- Detailed error analysis for a fractional Adams method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- Numerical solution of fractional integro-differential equations by collocation method
- Local error estimation for multistep collocation methods
- CONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS
- On linear stability of predictor–corrector algorithms for fractional differential equations
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Solving Ordinary Differential Equations I
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- Superconvergence for Multistep Collocation
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Solving Ordinary Differential Equations II
- IMPLEMENTATION OF EXPLICIT NORDSIECK METHODS WITH INHERENT QUADRATIC STABILITY
- Fractional Brownian Motions, Fractional Noises and Applications
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Two-step collocation methods for fractional differential equations
