Stability of two-step spline collocation methods for initial value problems for fractional differential equations
From MaRDI portal
Publication:2170819
DOI10.1016/j.cnsns.2022.106726zbMath1495.65239OpenAlexW4286701432WikidataQ115358529 ScholiaQ115358529MaRDI QIDQ2170819
Angelamaria Cardone, Dajana Conte, Beatrice Paternoster
Publication date: 6 September 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106726
Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)
Related Items
Non-stationary wave relaxation methods for general linear systems of Volterra equations: convergence and parallel GPU implementation ⋮ Further investigation of stochastic nonlinear Hilfer-fractional integro-differential inclusions using almost sectorial operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spline collocation for nonlinear fractional boundary value problems
- Fractional variational iteration method and its application
- The construction of operational matrix of fractional derivatives using B-spline functions
- Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method
- On the convergence of spline collocation methods for solving fractional differential equations
- A fractional variational iteration method for solving fractional nonlinear differential equations
- Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
- Spline collocation methods for linear multi-term fractional differential equations
- Adomian decomposition: a tool for solving a system of fractional differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Explicit methods for fractional differential equations and their stability properties
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A fractional spline collocation-Galerkin method for the time-fractional diffusion equation
- Two-step collocation methods for fractional differential equations
- Detailed error analysis for a fractional Adams method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- A collocation method in spline spaces for the solution of linear fractional dynamical systems
- Stability analysis of spline collocation methods for fractional differential equations
- Stability and convergence analysis of the quadratic spline collocation method for time-dependent fractional diffusion equations
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- Numerical solution of time fractional diffusion systems
- Numerical solution of fractional integro-differential equations by collocation method
- A collocation method for boundary value problems
- Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions
- On linear stability of predictor–corrector algorithms for fractional differential equations
- A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Collocation for Two-Point Boundary Value Problems Revisited
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Stability of collocation for weakly singular Volterra equations
- Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions
- Fractional Spectral Collocation Method
- Collocation at Gaussian Points
