An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions
type: Item
instance of: scholarly article
title: An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions
zbMATH Open document ID: 1434.65122
author: Kamran Kazmi
author: A. Q. M. Khaliq
published in: Applied Numerical Mathematics
publication date: 2019-11-27T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 7137367
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: distributed-order space-fractional reaction diffusion equations
zbMATH Keywords: time-dependent boundary conditions
zbMATH Keywords: matrix transfer technique
zbMATH Keywords: predictor-corrector method
MaRDI profile type: Publication
full work available at URL: j.apnum.2019.08.019
OpenAlex ID: W2970494462
cites work: Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation
cites work: Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
cites work: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
cites work: Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
cites work: Second-order predictor-corrector schemes for nonlinear distributed-order space-fractional differential equations with non-smooth initial data
cites work: An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
cites work: Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions
cites work: Q4438544
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
cites work: High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
cites work: New numerical methods for the Riesz space fractional partial differential equations
cites work: A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
cites work: A compact finite difference scheme for the fractional sub-diffusion equations
cites work: IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
cites work: Q3421758
cites work: Q5440446
cites work: Distributed-Order Dynamic Systems
cites work: Numerical solution of distributed order fractional differential equations
cites work: A split-step predictor-corrector method for space-fractional reaction-diffusion equations with nonhomogeneous boundary conditions
cites work: Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data
cites work: A numerical method for solving distributed order diffusion equations
cites work: Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations
cites work: A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
cites work: A novel finite volume method for the Riesz space distributed-order diffusion equation
cites work: A time-spectral algorithm for fractional wave problems
cites work: Variable order and distributed order fractional operators
cites work: Numerical solution of distributed order fractional differential equations by hybrid functions
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Numerical approximation of distributed order reaction-diffusion equations
cites work: DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
cites work: Modeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivatives
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Effect of surface slip on the relative motion and collision efficiency of slippery spherical particles
cites work: Q4726489
cites work: Q3696432
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: Efficient Split Linear Multistep Methods for Stiff Ordinary Differential Equations
cites work: A linearly implicit predicator-corrector method for reaction-diffusion equations
cites work: Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
cites work: Q4438488
cites work: Some time stepping methods for fractional diffusion problems with nonsmooth data
cites work: Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
cites work: Weighted average finite difference methods for fractional diffusion equations
cites work: A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
Wikidata QID: Q127311381
DOI: 10.1016/J.APNUM.2019.08.019
description: scientific article; zbMATH DE number 7137367