Optimal spectral Galerkin approximation for time and space fractional reaction-diffusion equations
type: Item
instance of: scholarly article
title: Optimal spectral Galerkin approximation for time and space fractional reaction-diffusion equations
author: A. S. Hendy
author: Leijie Qiao
author: A. A. Aldraiweesh
author: M. A. Zaky
published in: Applied Numerical Mathematics
publication date: 2024-06-04T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35Rxx
Mathematics Subject Classification ID: 26Axx
zbMATH DE Number: 7859296
zbMATH Keywords: Galerkin approximation
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: optimal error estimates
zbMATH Keywords: Caputo derivative
MaRDI profile type: Publication
cites work: Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions
cites work: Regularity theory and high order numerical methods for the (1D)-fractional Laplacian
cites work: A priori estimates for solutions of boundary value problems for fractional-order equations
cites work: Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces
cites work: Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations
cites work: Generalized Jacobi functions and their applications to fractional differential equations
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Nonpolynomial collocation approximation of solutions to fractional differential equations
cites work: Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
cites work: A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions
cites work: Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay
cites work: Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations
cites work: Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
cites work: Numerical Analysis of Nonlinear Subdiffusion Equations
cites work: Q5699297
cites work: Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
cites work: A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
cites work: Discretized Fractional Calculus
cites work: Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
cites work: Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients
cites work: Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
cites work: The quenching of solutions to time-space fractional Kawarada problems
cites work: Q4250595
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: Abstract fractional Cauchy problems with almost sectorial operators
cites work: Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations
cites work: A spectral framework for fractional variational problems based on fractional Jacobi functions
cites work: Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions
cites work: Fractional Spectral Collocation Method
cites work: Second-order stable finite difference schemes for the time-fractional diffusion-wave equation
cites work: Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
cites work: A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
cites work: Finite difference methods for the time fractional diffusion equation on non-uniform meshes
cites work: Error estimates of spectral Galerkin methods for a linear fractional reaction-diffusion equation
DOI: 10.1016/J.APNUM.2024.02.013
description: scientific article; zbMATH DE number 7859296