Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations (Q5153691)

scientific article; zbMATH DE number 7405084

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English	Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations	scientific article; zbMATH DE number 7405084

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instance of

scholarly article

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title

Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations (English)

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Advances in Applied Mathematics and Mechanics

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publication date

30 September 2021

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zbMATH Keywords

finite element methods

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fractional differential equations

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predator-prey models

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describes a project that uses

FODE

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/aamm.2015.m1065

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cites work

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Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation

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Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation

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A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel

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An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation

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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

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High order finite difference WENO schemes for fractional differential equations

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Mesh Modification for Evolution Equations

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Symmetric Error Estimates for Moving Mesh Galerkin Methods for Advection-Diffusion Equations

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Variational formulation for the stationary fractional advection dispersion equation

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Variational solution of fractional advection dispersion equations on bounded domains in ℝd

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Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation

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Least squares finite-element solution of a fractional order two-point boundary value problem

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A finite element method for time fractional partial differential equations

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A compact finite difference scheme for the fractional sub-diffusion equations

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A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

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Adaptive moving mesh methods

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Q3421758

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Q5440446

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High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

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High-order finite element methods for time-fractional partial differential equations

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Moving finite element methods for time fractional partial differential equations

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Qualitative behaviour of a ratio-dependent predator-prey system

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A Space-Time Spectral Method for the Time Fractional Diffusion Equation

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Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation

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Convergence analysis of moving Godunov methods for dynamical boundary layers

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On a Moving Mesh Method for Solving Patial Integro-differential Equations

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Analysis of an adaptive remeshing algorithm with interpolations for reaction-diffusion equations with traveling heat source

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Analysis of a moving collocation method for one-dimensional partial differential equations

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Moving collocation methods for time fractional differential equations and simulation of blowup

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Convergence analysis of moving finite element methods for space fractional differential equations

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An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh

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Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation

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Finite difference approximations for fractional advection-dispersion flow equations

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Finite difference methods for two-dimensional fractional dispersion equation

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Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation

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Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

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The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation

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A second-order accurate numerical approximation for the fractional diffusion equation

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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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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation

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A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions

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Galerkin finite element approximation of symmetric space-fractional partial differential equations

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Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

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Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation

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Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

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Identifiers

zbMATH Open document ID

1488.65447

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Mathematics Subject Classification ID

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10.4208/AAMM.2015.M1065

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Sitelinks

Mathematics(1 entry)

mardi Publication:5153691