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Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation - MaRDI portal

Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation (Q2306387)

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Language	Label	Description	Also known as
English	Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation	scientific article

Statements

scholarly article

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Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation (English)

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Journal of Computational and Applied Mathematics

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publication date

23 March 2020

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zbMATH Keywords

time-space fractional derivatives

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convergence analysis and error estimate

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finite element method

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stability analysis

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finite difference method

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Galerkin spectral method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cam.2020.112739

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A new difference scheme for the time fractional diffusion equation

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Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation

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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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General Padé approximation method for time-space fractional diffusion equation

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High-order algorithms for Riesz derivative and their applications. II

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High-order numerical algorithms for Riesz derivatives via constructing new generating functions

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Fourth order finite difference schemes for time-space fractional sub-diffusion equations

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

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Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations

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An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations

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Fourier spectral method for higher order space fractional reaction-diffusion equations

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A novel numerical approximation for the space fractional advection-dispersion equation

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Exponentially accurate spectral and spectral element methods for fractional ODEs

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Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations

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An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach

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A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain

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Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains

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A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

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Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations

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Local discontinuous Galerkin methods for fractional ordinary differential equations

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Second-order BDF time approximation for Riesz space-fractional diffusion equations

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A Legendre collocation method for fractional integro-differential equations

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Higher order numerical methods for solving fractional differential equations

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A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D

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Numerical simulation of the fractional Bloch equations

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Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation

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On the time-fractional Navier-Stokes equations

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A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition

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Attractivity for fractional evolution equations with almost sectorial operators

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Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation

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Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation

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Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

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Solving nonlinear fractional partial differential equations using the homotopy analysis method

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The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations

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Some high order difference schemes for the space and time fractional Bloch-Torrey equations

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A fully discrete difference scheme for a diffusion-wave system

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An integrodifferential equation for rigid heat conductors with memory

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Solution of a partial integro-differential equation arising from viscoelasticity

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A novel finite volume method for the Riesz space distributed-order advection-diffusion equation

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Distributed order calculus and equations of ultraslow diffusion

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Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

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Numerical study of the process of nonlinear supratransmission in Riesz space-fractional sine-Gordon equations

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A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

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The Two Forms of Fractional Relaxation of Distributed Order

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Variational formulation for the stationary fractional advection dispersion equation

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A class of second order difference approximations for solving space fractional diffusion equations

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Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation

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A finite difference scheme for partial integro-differential equations with a weakly singular kernel

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A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative

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Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

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A compact difference scheme for a partial integro-differential equation with a weakly singular kernel

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New conservative difference schemes for a coupled nonlinear Schrödinger system

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Identifiers

zbMATH Open document ID

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10.1016/j.cam.2020.112739

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2306387

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