On spectral methods for solving variable-order fractional integro-differential equations (Q1993665)

scientific article; zbMATH DE number 6973297

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English	On spectral methods for solving variable-order fractional integro-differential equations	scientific article; zbMATH DE number 6973297

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instance of

scholarly article

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title

On spectral methods for solving variable-order fractional integro-differential equations (English)

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Computational and Applied Mathematics

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publication date

5 November 2018

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zbMATH Keywords

fractional calculus

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variable-order fractional operator

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spectral collocation method

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shifted Jacobi-Gauss-quadrature

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describes a project that uses

Spectral

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40314-017-0551-9

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cites work

Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation

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SPACE-TIME SPECTRAL COLLOCATION ALGORITHM FOR THE VARIABLE-ORDER GALILEI INVARIANT ADVECTION DIFFUSION EQUATIONS WITH A NONLINEAR SOURCE TERM

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Solution to system of partial fractional differential equations using the fractional exponential operators

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On the stability and convergence of the time-fractional variable order telegraph equation

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On the Appearance of the Fractional Derivative in the Behavior of Real Materials

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An existence result for a superlinear fractional differential equation

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On the solution set for a class of sequential fractional differential equations

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Q3006513

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A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients

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A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations

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A quadrature tau method for fractional differential equations with variable coefficients

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A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations

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Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

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Spectral Methods

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Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications

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Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

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Numerical solution for the variable order linear cable equation with Bernstein polynomials

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Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets

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Numerical analysis for a variable-order nonlinear cable equation

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Spectral: solving schroedinger and Wheeler-dewitt equations in the positive semi-axis by the spectral method

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

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An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method

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A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations

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A new Jacobi operational matrix: an application for solving fractional differential equations

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On shifted Jacobi spectral approximations for solving fractional differential equations

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A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations

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Application of the collocation method for solving nonlinear fractional integro-differential equations

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An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis

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The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations

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Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations

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Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method

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Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

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An operational matrix technique for solving variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials

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A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels

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Solution existence for non-autonomous variable-order fractional differential equations

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A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation

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Numerical algorithm to solve a class of variable order fractional integral-differential equation based on Chebyshev polynomials

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Numerical simulations for the space-time variable order nonlinear fractional wave equation

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A generalized Laguerre-Legendre spectral collocation method for solving initial-boundary value problems

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Caputo derivatives of fractional variable order: numerical approximations

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A finite difference technique for solving variable-order fractional integro-differential equations

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Exponentially accurate spectral and spectral element methods for fractional ODEs

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Fractional spectral collocation methods for linear and nonlinear variable order FPDEs

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Generalized Hermite spectral method matching asymptotic behaviors

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Numerical analysis of a new space-time variable fractional order advection-dispersion equation

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Second-order approximations for variable order fractional derivatives: algorithms and applications

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Identifiers

zbMATH Open document ID

1404.65192

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Mathematics Subject Classification ID

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10.1007/S40314-017-0551-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:1993665