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A two-grid finite element approximation for a nonlinear time-fractional Cable equation

https://doi.org/10.1007/s11071-016-2843-9
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Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation
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Finite element method for space-time fractional diffusion equation
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A mixed finite element method for a time-fractional fourth-order partial differential equation
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Implicit compact difference schemes for the fractional cable equation
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Numerical analysis for a variable-order nonlinear cable equation
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Convergence analysis of moving finite element methods for space fractional differential equations
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A two-grid algorithm for expanded mixed finite element approximations of semi-linear elliptic equations
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On a two-grid finite element scheme combined with Crank–Nicolson method for the equations of motion arising in the Kelvin–Voigt model
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Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable 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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Galerkin finite element method for two-dimensional Riesz space fractional 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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An explicit high order method for fractional advection diffusion equations
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The Finite Element Method for Elliptic Problems
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Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition
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inferredcites →https://doi.org/10.1090/s0025-5718-2010-02438-xopenalex-snapshot
Finite difference/spectral approximations for the fractional cable equation
inferredcites →https://doi.org/10.1090/s0025-5718-2015-02917-2openalex-snapshot
A class of second order difference approximations for solving space fractional diffusion equations
inferredcites →https://doi.org/10.1103/physrevlett.100.128103openalex-snapshot
Fractional Cable Models for Spiny Neuronal Dendrites
inferredcites →https://doi.org/10.1103/physrevlett.91.010602openalex-snapshot
Fractional Diffusion in the Multiple-Trapping Regime and Revision of the Equivalence with the Continuous-Time Random Walk
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Two New Implicit Numerical Methods for the Fractional Cable Equation
inferredcites →https://doi.org/10.1137/050637820openalex-snapshot
A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow
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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
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A Novel Two-Grid Method for Semilinear Elliptic Equations
inferredcites →https://doi.org/10.1137/100800634openalex-snapshot
Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
inferredcites →https://doi.org/10.1137/110827624openalex-snapshot
Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium
inferredcites →https://doi.org/10.1137/120880719openalex-snapshot
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
inferredcites →https://doi.org/10.1137/130910865openalex-snapshot
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
inferredcites →https://doi.org/10.1137/130918174openalex-snapshot
Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations
inferredcites →https://doi.org/10.1137/130932776openalex-snapshot
Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
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Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation
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Two-Grid Discretization Techniques for Linear and Nonlinear PDE s
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An Explicit Numerical Method for the Fractional Cable Equation
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Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes
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A finite element method for time fractional partial differential equations
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Analytical Solution of Generalized Space-Time Fractional Cable Equation
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Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes
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A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes
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Fast two-grid finite volume element algorithms combined with Crank-Nicolson scheme for the nonlinear time fractional mobile/immobile transport model
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Analysis and Simulation of an Improved Fast Two‐Grid Mixed Element Method for a Nonlinear Time Fractional Pseudo‐Hyperbolic Equation
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THE NUMERICAL MESHLESS APPROACH FOR SOLVING THE 2D TIME NONLINEAR MULTI-TERM FRACTIONAL CABLE EQUATION IN COMPLEX GEOMETRIES
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An efficient numerical algorithm for solving the two-dimensional fractional cable equation
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A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation
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Finite volume element method with the WSGD formula for nonlinear fractional mobile/immobile transport equations
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FINITE ELEMENT ALGORITHM BASED ON HIGH-ORDER TIME APPROXIMATION FOR TIME FRACTIONAL CONVECTION-DIFFUSION EQUATION
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A Predictor-Corrector Method for Nonlinear Fractional Differential Equation Initial Value Problems on Graded Grids
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A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel
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Error Analysis of Nonlinear Time Fractional Mobile/Immobile Advection-Diffusion Equation with Weakly Singular Solutions
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Analysis of two-grid method for second-order hyperbolic equation by expanded mixed finite element methods
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Study on Numerical Solution of a Variable Order Fractional Differential Equation based on Symmetric Algorithm
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On Caputo-Type Cable Equation: Analysis and Computation
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Numerical approach for the fractional order cable model with theoretical analyses
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Error Bounds of a Finite Difference/Spectral Method for the Generalized Time Fractional Cable Equation
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Fast Two-Grid Finite Element Algorithm for a Fractional Klein- Gordon Equation
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Optimal time two-mesh mixed finite element method for a nonlinear fractional hyperbolic wave model
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Approximation methods for the distributed order calculus using the convolution quadrature
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Barycentric rational interpolation method for solving fractional cable equation
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Two-grid methods of finite element approximation for parabolic integro-differential optimal control problems
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Linear barycentric rational collocation method for solving nonlinear time-fractional Cable equation
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A two-grid mixed finite volume element method for nonlinear time fractional reaction-diffusion equations
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Two-grid finite element method with an H2N2 interpolation for two-dimensional nonlinear fractional multi-term mixed sub-diffusion and diffusion wave equation
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On a nonlinear time-fractional cable equation
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The well-posedness and regularity of mild solutions to the time-fractional Cable equation
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A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation
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A Novel Discretization Method for Semilinear Reaction-Diffusion Equation
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A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh
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Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation
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Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations
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Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations
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A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations
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A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations
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Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations
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A Numerical Simulation of Anomalous Electro-Diffusion of Ions in Spiny Dendrites Using a Local Petrov-Galerkin Method
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Finite Difference Solution to a Nonlinear Time-Fractional Logistic Model
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