Spectral collocation method for Caputo fractional terminal value problems
DOI10.1007/S11075-020-01031-3zbMath1484.65251OpenAlexW3096461442MaRDI QIDQ2048817
Publication date: 24 August 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-020-01031-3
convergence analysisnumerical experimentsspectral collocation methodCaputofractional terminal value problem
Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Volterra integral equations (45D05) Fractional partial differential equations (35R11)
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Cites Work
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- A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems
- High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives
- Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
- A nonpolynomial collocation method for fractional terminal value problems
- Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay
- Spline collocation methods for linear multi-term fractional differential equations
- Dynamical models of happiness with fractional order
- A simple finite element method for boundary value problems with a Riemann-Liouville derivative
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Collocation methods for general Caputo two-point boundary value problems
- Well-posedness and numerical approximation of tempered fractional terminal value problems
- Spectral methods for substantial fractional differential equations
- Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations
- Collocation methods for general Riemann-Liouville two-point boundary value problems
- Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods
- Spectral collocation method for system of weakly singular Volterra integral equations
- Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem
- A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section
- Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions
- Fractional-order dynamical models of love
- A fully discrete difference scheme for a diffusion-wave system
- Finite difference methods for two-dimensional fractional dispersion equation
- Generalized Jacobi functions and their applications to fractional differential equations
- Differintegral interpolation from a bandlimited signal's samples
- A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems
- A new dissipation model based on memory mechanism
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- New numerical approach for fractional differential equations
- Terminal value problem for causal differential equations with a Caputofractional derivative
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
- High Order Numerical Methods for Fractional Terminal Value Problems
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Fractional Spectral Collocation Method
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