A two-grid spectral deferred correction method for the multi-order fractional differential equations
DOI10.1007/s10915-022-01942-4zbMath1498.65108OpenAlexW4286742109WikidataQ115382646 ScholiaQ115382646MaRDI QIDQ2162232
Publication date: 5 August 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01942-4
error analysismulti-order fractional differential equationstwo-grid spectral deferred correction method
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Rate of convergence, degree of approximation (41A25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08) Numerical methods for functional-differential equations (65L03)
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Cites Work
- On the spectral deferred correction of splitting methods for initial value problems
- On the choice of correctors for semi-implicit Picard deferred correction methods
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- On the efficiency of spectral deferred correction methods for time-dependent partial differential equations
- High-order multi-implicit spectral deferred correction methods for problems of reactive flow.
- Spectral deferred correction methods for ordinary differential equations
- An \(hp\)-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels
- High-order convergence of spectral deferred correction methods on general quadrature nodes
- On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Accelerating the convergence of spectral deferred correction methods
- A fully discrete difference scheme for a diffusion-wave system
- Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays
- A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- A semi-implicit spectral deferred correction method for two water wave models with nonlocal viscous term and numerical study of their decay rates
- Spectral Deferred Correction Methods for Fractional Differential Equations
- High Order Numerical Simulations for the Binary Fluid--Surfactant System Using the Discontinuous Galerkin and Spectral Deferred Correction Methods
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