Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation (Q2290538)

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English	Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation	scientific article

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scholarly article

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title

Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation (English)

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zbMATH Open document ID

1459.65194

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DOI

10.1016/j.apm.2015.10.036

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Applied Mathematical Modelling

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publication date

29 January 2020

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Mathematics Subject Classification ID

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fractional modified anomalous sub-diffusion

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finite difference scheme

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spectral element method

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Legendre polynomial

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unconditional stability

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error estimate and convergence

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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.apm.2015.10.036

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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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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity

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Analysis of fractional differential equations

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The fractional diffusion equation

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Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials

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Q5691782

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From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion

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Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

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Waiting-times and returns in high-frequency financial data: An empirical study

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Higher order finite difference method for the reaction and anomalous-diffusion equation

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Finite element approximation for a modified anomalous subdiffusion equation

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A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term

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Q4399906

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Q5462772

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