A MATLAB code for fractional differential equations based on two-step spline collocation methods
From MaRDI portal
Publication:6612890
DOI10.1007/978-981-19-7716-9_8MaRDI QIDQ6612890
Dajana Conte, Beatrice Paternoster, Angelamaria Cardone
Publication date: 1 October 2024
Numerical methods for ordinary differential equations (65Lxx) Fractional ordinary differential equations (34A08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method
- Spline collocation for nonlinear fractional boundary value problems
- Exponentially accurate spectral and spectral element methods for fractional ODEs
- Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method
- Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses
- Fractional processes and fractional-order signal processing. Techniques and applications
- Spline collocation methods for linear multi-term fractional differential equations
- The Grünwald-Letnikov method for fractional differential equations
- Application of Legendre wavelets for solving fractional differential equations
- Numerical solution of fractional differential equations using the generalized block pulse operational matrix
- Adomian decomposition: a tool for solving a system of fractional differential equations
- A fast and oblivious matrix compression algorithm for Volterra integral operators
- A parallel algorithm for large systems of Volterra integral equations of Abel type
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations
- Fast numerical solution of weakly singular Volterra integral equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A phase-fitted collocation-based Runge-Kutta-Nyström method
- Numerical solution of fractional differential equations: a survey and a software tutorial
- Two-step collocation methods for fractional differential equations
- Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations
- Detailed error analysis for a fractional Adams method
- Stability analysis of spline collocation methods for fractional differential equations
- Stability of two-step spline collocation methods for initial value problems for fractional differential equations
- An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media
- Multivalue collocation methods free from order reduction
- A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Multivalue mixed collocation methods
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Numerical solution of time fractional diffusion systems
- Fast collocation methods for Volterra integral equations of convolution type
- Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Fractional Spectral Collocation Method
- Fast and Oblivious Convolution Quadrature
- Collocation at Gaussian Points
This page was built for publication: A MATLAB code for fractional differential equations based on two-step spline collocation methods