Stability analysis of spline collocation methods for fractional differential equations
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Publication:1998205
DOI10.1016/j.matcom.2020.07.004OpenAlexW3042128578WikidataQ115343834 ScholiaQ115343834MaRDI QIDQ1998205
Dajana Conte, Angelamaria Cardone
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.07.004
Singular integral equations (45Exx) Numerical methods for integral equations, integral transforms (65Rxx) Volterra integral equations (45Dxx)
Related Items (6)
Stability of two-step spline collocation methods for initial value problems for fractional differential equations ⋮ Fractional exponential fitting backward differential formulas for solving differential equations of fractional order ⋮ The asymptotic solutions of two-term linear fractional differential equations via Laplace transform ⋮ Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations ⋮ Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations ⋮ Multivalue second derivative collocation methods
Cites Work
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- Spline collocation for nonlinear fractional boundary value problems
- 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
- Spline collocation methods for linear multi-term fractional differential equations
- On the numerical solutions for the fractional diffusion equation
- Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
- Multistep collocation methods for Volterra integro-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
- Multistep collocation methods for Volterra integral equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Two-step collocation methods for fractional differential equations
- Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
- Numerical search for algebraically stable two-step almost collocation methods
- Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations
- Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- Collocation methods for Volterra integral and integro-differential equations: a review
- Construction and implementation of two-step continuous methods for Volterra integral equations
- Numerical solution of time fractional diffusion systems
- Numerical solution of fractional integro-differential equations by collocation method
- Circulant preconditioning technique for barrier options pricing under fractional diffusion models
- Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions
- On linear stability of predictor–corrector algorithms for fractional differential equations
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
- A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- 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
- A Family of Multistep Collocation Methods for Volterra Integral Equations
- Fractional Brownian Motions, Fractional Noises and Applications
- A family of Multistep Collocation Methods for Volterra Integro-Differential Equations
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