A fast numerical method for fractional partial differential equations (Q2114083)

scientific article; zbMATH DE number 7489345

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English	A fast numerical method for fractional partial differential equations	scientific article; zbMATH DE number 7489345

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instance of

scholarly article

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title

A fast numerical method for fractional partial differential equations (English)

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Advances in Difference Equations

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publication date

14 March 2022

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zbMATH Keywords

system of fractional differential equations

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operational matrices

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Chebyshev polynomials

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Caputo-fractional derivative

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fractional partial differential equations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13662-019-2390-z

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cites work

Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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A hybrid analytical algorithm for nonlinear fractional wave-like equations

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System of fractional differential algebraic equations with applications

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New aspects of fractional Biswas–Milovic model with Mittag-Leffler law

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On an accurate discretization of a variable-order fractional reaction-diffusion equation

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The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics

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A new approach for solving a system of fractional partial differential equations

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Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method

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The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves

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A wavelet operational method for solving fractional partial differential equations numerically

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Haar wavelet method for solving fractional partial differential equations numerically

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Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

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Solving a system of nonlinear fractional partial differential equations using homotopy analysis method

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Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions

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Normalized Bernstein polynomials in solving space-time fractional diffusion equation

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Collocation methods for fractional differential equations involving non-singular kernel

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On the accurate discretization of a highly nonlinear boundary value problem

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Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation

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A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

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Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation

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Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods

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Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations

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A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

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Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis

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NEW RECURSIVE APPROXIMATIONS FOR VARIABLE-ORDER FRACTIONAL OPERATORS WITH APPLICATIONS

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Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger 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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A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients

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A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

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Is Gauss Quadrature Better than Clenshaw–Curtis?

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Error Estimates for the Clenshaw-Curtis Quadrature

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Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions

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Identifiers

zbMATH Open document ID

1485.65110

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Mathematics Subject Classification ID

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10.1186/S13662-019-2390-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2114083