Linearized transformed $L1$ Finite element methods for semi-linear time-fractional parabolic problems (Q6096378)

scientific article; zbMATH DE number 7736285

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English	Linearized transformed $L1$ Finite element methods for semi-linear time-fractional parabolic problems	scientific article; zbMATH DE number 7736285

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scholarly article

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title

Linearized transformed $L1$ Finite element methods for semi-linear time-fractional parabolic problems (English)

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published in

Applied Mathematics and Computation

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publication date

12 September 2023

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zbMATH Keywords

nonlinear time fractional parabolic equation

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transformed $L1$ scheme

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linearized Galerkin finite element method

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unconditional convergence

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MaRDI profile type

MaRDI publication profile

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cites work

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A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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$ \alpha $-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation

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Sharp $H^1$-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems

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Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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$ \alpha $-robust $H^1$-norm error estimate of nonuniform Alikhanov scheme for fractional sub-diffusion equation

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A sharp $\alpha$-robust $L^\infty (H^1)$ error bound for a time-fractional Allen-Cahn problem discretised by the Alikhanov $L2-1_\sigma$ scheme and a standard FEM

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Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations

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A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

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A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations

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A transformed $L 1$ method for solving the multi-term time-fractional diffusion problem

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Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations

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Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media

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Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations

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Unconditionally optimal $H^1$-norm error estimates of a fast and linearized Galerkin method for nonlinear subdiffusion equations

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Fast L2-1$_\sigma$ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives

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Galerkin Finite Element Methods for Parabolic Problems

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New development in freefem++

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AMC.2023.128242

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Sitelinks

Mathematics(1 entry)

mardi Publication:6096378

Linearized transformed \(L1\) Finite element methods for semi-linear time-fractional parabolic problems (Q6096378)

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Identifiers

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Mathematics(1 entry)