Numerical solution of fractional diffusion-wave equation based on fractional multistep method
type: Item
instance of: scholarly article
title: Numerical solution of fractional diffusion-wave equation based on fractional multistep method
zbMATH Open document ID: 1427.65196
author: Y. Aharonov
published in: Applied Mathematical Modelling
publication date: 2018-12-12T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 6992532
zbMATH Keywords: fractional multistep method
zbMATH Keywords: fractional diffusion-wave equation
zbMATH Keywords: integro-differential equation
zbMATH Keywords: central difference scheme
MaRDI profile type: Publication
full work available at URL: j.apm.2013.11.069
OpenAlex ID: W2085534818
cites work: Q3141895
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Q2741107
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Time fractional diffusion: A discrete random walk approach
cites work: An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
cites work: Weighted average finite difference methods for fractional diffusion equations
cites work: Q5708108
cites work: New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
cites work: Fractional diffusion equations by the Kansa method
cites work: Boundary particle method for Laplace transformed time fractional diffusion equations
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: A compact difference scheme for the fractional diffusion-wave equation
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: Discretized Fractional Calculus
cites work: Fractional high order methods for the nonlinear fractional ordinary differential equation
cites work: Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations
cites work: Two finite difference schemes for time fractional diffusion-wave equation
cites work: Response of a diffusion‐wave system subjected to deterministic and stochastic fields
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
cites work: A finite difference scheme for partial integro-differential equations with a weakly singular kernel
cites work: Automatic differentiation: techniques and applications
DOI: 10.1016/J.APM.2013.11.069
description: scientific article; zbMATH DE number 6992532