Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain
type: Item
instance of: scholarly article
title: Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain
zbMATH Open document ID: 1500.65087
author: Hui Zhang
author: Fawang Liu
author: Xiaoyun Jiang
author: I. Turner
published in: Journal of Computational and Applied Mathematics
publication date: 2021-09-01T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7389250
zbMATH Keywords: two-dimensional time distributed-order diffusion-wave equation
zbMATH Keywords: ADI Legendre-Laguerre spectral method
zbMATH Keywords: Gauss quadrature formula
zbMATH Keywords: stability and convergence analysis
zbMATH Keywords: a semi-infinite domain
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113712
OpenAlex ID: W3179760003
cites work: A Chebyshev PseudoSpectral Method to Solve the Space-Time Tempered Fractional Diffusion Equation
cites work: Q3006513
cites work: Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients
cites work: Applications of fractional calculus in physics
cites work: A new fractional finite volume method for solving the fractional diffusion equation
cites work: New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
cites work: Q4233638
cites work: New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum \(q\)-homotopic analysis method
cites work: Existence of Turing instabilities in a two-species fractional reaction-diffusion system
cites work: Stochastic models for fractional calculus
cites work: Harmonic analysis of random fractional diffusion-wave equations.
cites work: Space-fractional advection-dispersion equations by the Kansa method
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Fast numerical simulation of a new time-space fractional option pricing model governing European call option
cites work: Chaos, fractional kinetics, and anomalous transport
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Stochastic model for ultraslow diffusion
cites work: Distributed order calculus and equations of ultraslow diffusion
cites work: Distributed-Order Dynamic Systems
cites work: Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
cites work: Q3141895
cites work: Q4438544
cites work: Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations
cites work: Finite difference/finite element methods for distributed-order time fractional diffusion equations
cites work: New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
cites work: Local discontinuous Galerkin method for distributed-order time and space-fractional convection-diffusion and Schrödinger-type equations
cites work: A semi-linear delayed diffusion-wave system with distributed order in time
cites work: Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
cites work: An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation
cites work: Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel
cites work: A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
cites work: Spectral direction splitting methods for two-dimensional space fractional diffusion equations
cites work: Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
cites work: Spectral Methods
cites work: Finite difference/spectral approximations to a water wave model with a nonlocal viscous term
cites work: A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
cites work: Error analysis of a high order method for time-fractional diffusion equations
cites work: A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
cites work: A Laguerre–Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
cites work: Analysis of fractional differential equations
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem
cites work: Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
cites work: Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
DOI: 10.1016/J.CAM.2021.113712
Recommended article: Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel
Recommended article: Space-time spectral method for two-dimensional semilinear parabolic equations
Recommended article: The Galerkin spectral element method for the solution of two‐dimensional multiterm time fractional diffusion‐wave equation

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: A spectral Galerkin method for the fractional order diffusion and wave equation
Similarity Score: 0.90292096
Recommender Run: Recommender Run 3

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: Spectral methods in space and time for parabolic problems on semi-infinite domains
Similarity Score: 0.89843535
Recommender Run: Recommender Run 3

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: Spectral method for semilinear parabolic integro-differential equations
Similarity Score: 0.89669615
Recommender Run: Recommender Run 3

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation
Similarity Score: 0.89469814
Recommender Run: Recommender Run 3

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis
Similarity Score: 0.8934269
Recommender Run: Recommender Run 3

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: Spectral direction splitting methods for two-dimensional space fractional diffusion equations
Similarity Score: 0.8904865
Recommender Run: Recommender Run 3

Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (Recommended article)
Recommended article: Spectral methods in time for a class of parabolic partial differential equations
Similarity Score: 0.89015085
Recommender Run: Recommender Run 3