Numerical treatment of time-fractional sub-diffusion equation using p -fractional linear multistep methods (Q6608431)

scientific article; zbMATH DE number 7916274

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English	Numerical treatment of time-fractional sub-diffusion equation using <i>p</i> -fractional linear multistep methods	scientific article; zbMATH DE number 7916274

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scholarly article

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title

Numerical treatment of time-fractional sub-diffusion equation using p -fractional linear multistep methods (English)

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author

Q6608430

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Safar Irandoust-Pakchin

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Somaiyeh Abdi-Mazraeh

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published in

Applicable Analysis

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publication date

19 September 2024

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MaRDI profile type

Publication

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cites work

Fractional variational calculus in terms of Riesz fractional derivatives

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A new class of fractional Orlicz-Sobolev space and singular elliptic problems

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Nonexistence results for nonlinear fractional differential inequalities involving weighted fractional derivatives

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Numerical approaches to fractional calculus and fractional ordinary differential equation

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The Finite Difference Methods for Fractional Ordinary Differential Equations

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

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The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis

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Matrix approach to discrete fractional calculus. II: Partial fractional differential equations

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Compact finite difference method for the fractional diffusion equation

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A compact finite difference scheme for the fractional sub-diffusion equations

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A Finite Element Method for a Boundary Value Problem of Mixed Type

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Fractional difference/finite element approximations for the time-space fractional telegraph equation

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A note on the finite element method for the space-fractional advection diffusion equation

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Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

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A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations

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Q5273259

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Q5708139

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An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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Backward difference formulae and spectral Galerkin methods for the Riesz space fractional diffusion equation

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A Tikhonov regularization method for solving a backward time-space fractional diffusion problem

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Second-order stable finite difference schemes for the time-fractional diffusion-wave equation

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High-order finite difference method based on linear barycentric rational interpolation for Caputo type sub-diffusion equation

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Fractional differentiation matrices with applications

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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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High-order finite element methods for time-fractional partial differential equations

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

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A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions

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Local discontinuous Galerkin method for time variable order fractional differential equations with sub-diffusion and super-diffusion

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Fractional Adams-Moulton methods

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Explicit methods for fractional differential equations and their stability properties

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On multistep methods for differential equations of fractional order

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Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis

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Discretized Fractional Calculus

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The J.C.P. miller recurrence for exponentiating a polynomial, and its q- analog

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Pitfalls in fast numerical solvers for fractional differential equations

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Analysis of fractional differential equations

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

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

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Some formulas for sums of binomial coefficients and gamma functions

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Higher order methods for fractional differential equation based on fractional backward differentiation formula of order three

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A Fourier method for the fractional diffusion equation describing sub-diffusion

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Weighted average finite difference methods for fractional diffusion equations

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New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

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A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations

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Identifiers

zbMATH Open document ID

1545.65329

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DOI

10.1080/00036811.2023.2283131

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6608431

Numerical treatment of time-fractional sub-diffusion equation using <i>p</i> -fractional linear multistep methods (Q6608431)

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Mathematics(1 entry)