A Jacobi spectral collocation method for solving fractional integro-differential equations

DOI10.1007/s42967-020-00099-xzbMath1499.65582OpenAlexW3136249875WikidataQ115370658 ScholiaQ115370658MaRDI QIDQ2077790

Xiaoyan Zeng, Zhongshu Wu, Qingqing Wu

Publication date: 22 February 2022

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-020-00099-x

zbMATH Keywords

convergence analysisCaputo fractional derivativefractional integro-differential equationJacobi spectral collocation method

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) 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)

Related Items (2)

Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels ⋮ Barycentric interpolation collocation algorithm to solve fractional differential equations

Cites Work

• Unnamed Item
• Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
• Reconstruction of exponentially rate of convergence to Legendre collocation solution of a class of fractional integro-differential equations
• An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
• A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
• A new Jacobi operational matrix: an application for solving fractional differential equations
• Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• Local discontinuous Galerkin methods for fractional ordinary differential equations
• A new operational matrix for solving fractional-order differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Inverse acoustic and electromagnetic scattering theory.
• Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
• Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
• Spectral collocation method for linear fractional integro-differential equations
• Application of the collocation method for solving nonlinear fractional integro-differential equations
• A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations
• A Legendre collocation method for fractional integro-differential equations
• Spectral approximations to the fractional integral and derivative
• A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities
• SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS
• Spectral Methods
• Bernstein modal basis: Application to the spectral Petrov-Galerkin method for fractional partial differential equations
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
• Mean Convergence of Lagrange Interpolation. III
• A fast method for solving second Order boundary value volterra Integro-differential equations
• Fractional differentiation matrices with applications
• Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
• Spectral Methods
• Polynomial Approximation on Compact Manifolds and Homogeneous Spaces
• Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
• Static-kinematic duality and the principle of virtual work in the mechanics of fractal media

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