A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem
type: Item
instance of: scholarly article
title: A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem
author: Mianfu She
author: Dongfang Li
author: Hai-Wei Sun
published in: Mathematics and Computers in Simulation
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35-XX
zbMATH DE Number: 7442893
zbMATH Keywords: multi-term time-fractional equation
zbMATH Keywords: modified \(L 1\) scheme
zbMATH Keywords: Chebyshev-Galerkin spectral method
zbMATH Keywords: error estimates
MaRDI profile type: Publication
full work available at URL: j.matcom.2021.11.005
OpenAlex ID: W3212342386
cites work: On the Appearance of the Fractional Derivative in the Behavior of Real Materials
cites work: Principles of combinatorics
cites work: A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
cites work: Q5823354
cites work: Convolution quadrature time discretization of fractional diffusion-wave equations
cites work: Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
cites work: Geometric theory of semilinear parabolic equations
cites work: Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem
cites work: Superconvergence of a finite element method for the multi-term time-fractional diffusion problem
cites work: Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
cites work: The Galerkin finite element method for a multi-term time-fractional diffusion equation
cites work: Subdiffusion with a time-dependent coefficient: Analysis and numerical solution
cites work: Modified spline collocation for linear fractional differential equations
cites work: Smoothing transformation and spline collocation for linear fractional boundary value problems
cites work: Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
cites work: A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
cites work: Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
cites work: Long time numerical behaviors of fractional pantograph equations
cites work: Numerical methods for solving the multi-term time-fractional wave-diffusion equation
cites work: Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
cites work: An operational method for solving fractional differential equations with the Caputo derivatives
cites work: Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
cites work: Q4233638
cites work: A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations
cites work: Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations
cites work: A novel numerical scheme for a time fractional Black-Scholes equation
cites work: Spectral Methods
cites work: A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
cites work: A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
cites work: Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
cites work: Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations
cites work: A high-order spectral method for the multi-term time-fractional diffusion equations
DOI: 10.1016/J.MATCOM.2021.11.005
description: scientific article; zbMATH DE number 7442893