An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations (Q5868584)

scientific article; zbMATH DE number 7589268

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English	An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations	scientific article; zbMATH DE number 7589268

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instance of

scholarly article

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title

An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations (English)

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Advances in Applied Mathematics and Mechanics

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publication date

21 September 2022

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zbMATH Keywords

nonlinear space-fractional reaction-diffusion equation

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finite volume method

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ADI

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convergence

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efficient implementation

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MaRDI profile type

MaRDI publication profile

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cites work

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

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A second-order BDF compact difference scheme for fractional-order Volterra equation

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

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A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation

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Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations

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Q4303969

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Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations

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A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation

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A preconditioned fast finite volume scheme for a fractional differential equation discretized on a locally refined composite mesh

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Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain

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Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

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A new fractional finite volume method for solving the fractional diffusion equation

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Finite difference approximations for two-sided space-fractional partial differential equations

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Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations

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Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations

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Q4233638

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Q3410604

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A finite volume method for two-sided fractional diffusion equations on non-uniform meshes

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Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains

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A second-order accurate numerical method for the two-dimensional fractional diffusion equation

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Galerkin Finite Element Methods for Parabolic Problems

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

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An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations

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Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations

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A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

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A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations

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Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

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

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An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions

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full work available at URL

https://doi.org/10.4208/aamm.oa-2021-0153

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Identifiers

Mathematics Subject Classification ID

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10.4208/AAMM.OA-2021-0153

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Sitelinks

Mathematics(1 entry)

mardi Publication:5868584