Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations (Q2060639)

scientific article; zbMATH DE number 7443082

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English	Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations	scientific article; zbMATH DE number 7443082

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instance of

scholarly article

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title

Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations (English)

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author

Alessandra Jannelli

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published in

Communications in Nonlinear Science and Numerical Simulation

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publication date

13 December 2021

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zbMATH Keywords

fractional advection-diffusion-reaction equation

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Caputo fractional derivative

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adaptive strategies

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L1 finite difference method

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cnsns.2021.106073

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cites work

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Lie symmetry analysis and exact solution of certain fractional ordinary differential equations

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Application of Adomian decomposition method to nonlinear systems

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A coupling method of a homotopy technique and a perturbation technique for nonlinear problems

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Homotopy perturbation method for nonlinear partial differential equations of fractional order

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

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The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

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Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions

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Stability and convergence of a finite volume method for the space fractional advection-dispersion equation

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A monotone finite volume method for time fractional Fokker-Planck equations

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A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation

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

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Implicit-explicit time integration of nonlinear fractional differential equations

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On shifted Jacobi spectral approximations for solving fractional differential equations

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

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Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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Detailed error analysis for a fractional Adams method with graded meshes

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A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions

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Fractional functional differential equations with causal operators in Banach spaces

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Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CNSNS.2021.106073

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Sitelinks

Mathematics(1 entry)

mardi Publication:2060639