Spectral collocation method for nonlinear Caputo fractional differential system (Q831045)

scientific article; zbMATH DE number 7346829

Language	Label	Description	Also known as
English	Spectral collocation method for nonlinear Caputo fractional differential system	scientific article; zbMATH DE number 7346829

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instance of

scholarly article

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title

Spectral collocation method for nonlinear Caputo fractional differential system (English)

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author

Zhendong Gu

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published in

Advances in Computational Mathematics

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publication date

10 May 2021

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zbMATH Keywords

spectral collocation method

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fractional differential system

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Caputo

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convergence analysis

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numerical experiments

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10444-020-09808-9

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cites work

Numerical solutions for fractional differential equations by tau-collocation method

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Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

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Collocation Methods for Volterra Integral and Related Functional Differential Equations

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Generalized Jacobi functions and their applications to fractional differential equations

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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A predictor-corrector approach for the numerical solution of fractional differential equations

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On shifted Jacobi spectral approximations for solving fractional differential equations

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Q4217260

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SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS

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A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems

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Spectral collocation method for system of weakly singular Volterra integral equations

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A simple finite element method for boundary value problems with a Riemann-Liouville derivative

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Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

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Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem

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FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

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The Finite Difference Methods for Fractional Ordinary Differential Equations

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Spectral approximations to the fractional integral and derivative

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A Space-Time Spectral Method for the Time Fractional Diffusion Equation

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Collocation methods for general Caputo two-point boundary value problems

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Collocation methods for general Riemann-Liouville two-point boundary value problems

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Recent applications of fractional calculus to science and engineering

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Finite difference methods for two-dimensional fractional dispersion equation

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A numerical scheme for the solution of multi-order fractional differential equations

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Spline collocation methods for linear multi-term fractional differential equations

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Piecewise polynomial collocation for linear boundary value problems of fractional differential equations

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Fractional dynamics of populations

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Analytical approximate solutions for nonlinear fractional differential equations

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A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems

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A finite difference method for a two-point boundary value problem with a Caputo fractional derivative

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A fully discrete difference scheme for a diffusion-wave system

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High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives

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A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative

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Fractional collocation methods for multi-term linear and nonlinear fractional differential equations with variable coefficients on the half line

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Finite difference approximations for fractional advection-dispersion flow equations

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Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions

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On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems

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A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions

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Fractional Spectral Collocation Method

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The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

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Identifiers

zbMATH Open document ID

1471.65158

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Mathematics Subject Classification ID

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10.1007/S10444-020-09808-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:831045