A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition (Q2189677)

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English	A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition	scientific article

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scholarly article

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title

A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition (English)

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Applied Numerical Mathematics

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publication date

16 June 2020

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zbMATH Keywords

fractional sub-diffusion equation

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Neumann boundary conditions

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ADI

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convergence

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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.apnum.2020.04.009

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cites work

A new difference scheme for the time fractional diffusion equation

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The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes

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Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition

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Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions

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Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations

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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations

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Nonlocal nonlinear integrodifferential equations of fractional orders

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Detailed error analysis for a fractional Adams method

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Note on periodic solutions of fractional differential equations

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Compact difference schemes for heat equation with Neumann boundary conditions (II)

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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Müntz spectral methods for the time-fractional diffusion equation

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Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem

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The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis

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Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

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Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction

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Exact solutions and numerical study of time fractional Burgers' equations

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains

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A fast Galerkin finite element method for a space-time fractional Allen-Cahn equation

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A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative

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Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

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Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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Compact difference schemes for heat equation with Neumann boundary conditions

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A fully discrete difference scheme for a diffusion-wave system

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Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains

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A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions

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A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions

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Preconditioned modified Hermitian and skew-Hermitian splitting iteration methods for fractional nonlinear Schrödinger equations

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A higher order numerical method for time fractional partial differential equations with nonsmooth data

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An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data

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Finite difference methods for the time fractional diffusion equation on non-uniform meshes

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

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Identifiers

zbMATH Open document ID

1442.65152

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DOI

10.1016/j.apnum.2020.04.009

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2189677