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Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative - MaRDI portal

Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative (Q2664797)

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English	Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative	scientific article

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scholarly article

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Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo-Fabrizio fractional derivative (English)

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Mathematics and Computers in Simulation

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publication date

18 November 2021

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zbMATH Keywords

Caputo-Fabrizio fractional derivatives

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LDG method

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stability

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error estimates

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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.matcom.2021.04.001

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On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation

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A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative

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A compact finite difference scheme for variable order subdiffusion equation

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

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Mechanics with variable-order differential operators

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The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Shallow water wave models with and without singular kernel: existence, uniqueness, and similarities

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Numerical solutions of variable order time fractional \((1+1)\)- and \((1+2)\)-dimensional advection dispersion and diffusion models

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Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative

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Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

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The accuracy and stability of an implicit solution method for the fractional diffusion equation

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

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Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution

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Fractional differentiation matrices with applications

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Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

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A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative

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Fractional integration and differentiation of variable order

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Integration and differentiation to a variable fractional order

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A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation

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Design of variable and adaptive fractional order FIR differentiators

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Wellposedness and regularity of the variable-order time-fractional diffusion equations

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Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation

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An efficient numerical method for variable order fractional functional differential equation

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A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

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High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative

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Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data

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Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations

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Identifiers

10.1016/j.matcom.2021.04.001

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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:2664797

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