Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation (Q725860)

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English	Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation	scientific article

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instance of

scholarly article

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title

Bernstein dual-Petrov-Galerkin method: application to 2D time fractional diffusion equation (English)

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author

D. Kharzeev

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published in

Computational and Applied Mathematics

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publication date

2 August 2018

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full work available at URL

https://arxiv.org/abs/1605.06744

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zbMATH Keywords

fractional PDEs

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Bernstein polynomials

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2D subdiffusion

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dual-Petrov-Galerkin

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dual Bernstein basis

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operational matrix

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describes a project that uses

FODE

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MaRDI profile type

MaRDI publication profile

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cites work

Retracted: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials

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Shape preserving representations and optimality of the Bernstein basis

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Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations

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Q3151311

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On the optimal stability of the Bernstein basis

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A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

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Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence

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Q4002454

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On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval

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Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation

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Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials

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A numerical scheme for space-time fractional advection-dispersion equation

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Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

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The dual basis functions for the Bernstein polynomials

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Bézier representation of the constrained dual Bernstein polynomials

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

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A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations

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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 stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations

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Fourth order finite difference schemes for time-space fractional sub-diffusion equations

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DMLPG solution of the fractional advection-diffusion problem

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

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Bernstein operational matrix of fractional derivatives and its applications

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Spectral Methods

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Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations

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Efficient numerical solution of the time fractional diffusion equation by mapping from its Brownian counterpart

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A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations

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Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials

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A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach

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An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation

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Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation

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A dual-Petrov-Galerkin method for the Kawahara-type equations

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Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

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Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

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Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations

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Finite element approximation of optimal control problems governed by time fractional diffusion equation

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Identifiers

zbMATH Open document ID

1394.76068

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Mathematics Subject Classification ID

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10.1007/S40314-017-0455-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:725860