A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes (Q6196438)

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scientific article; zbMATH DE number 7818887

Language	Label	Description	Also known as
English	A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes	scientific article; zbMATH DE number 7818887

Statements

scholarly article

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A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes (English)

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Networks and Heterogeneous Media

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publication date

14 March 2024

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zbMATH Keywords

Caputo-Fabrizio derivative

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generalized alternating numerical flux

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fractional fourth-order model

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/nhm.2023022

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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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Galerkin–Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation

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Fractional calculus -- a new approach to the analysis of generalized fourth-order diffusion-wave equations

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An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order

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A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel

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Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems

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Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time-space fractional reaction-diffusion equation

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Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions

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Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms

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Finite difference/spectral approximations for the time-fractional diffusion equation

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

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A new fractional finite volume method for solving the 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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Fractional differentiation matrices with applications

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Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem

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Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

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Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

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Local discontinuous Galerkin method based on a family of second-order time approximation schemes for fractional mobile/immobile convection-diffusion equations

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order

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Numerical solution of time-fractional fourth-order partial differential equations

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A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

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Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems

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A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reaction-diffusion equation

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

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WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation

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Third-order explicit Runge-Kutta discontinuous Galerkin method for linear conservation law with inflow boundary condition

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A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation

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Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/NHM.2023022

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Sitelinks

Mathematics(1 entry)

mardi Publication:6196438

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