Analysis of BDF2 finite difference method for fourth-order integro-differential equation (Q1983888)

scientific article; zbMATH DE number 7394339

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English	Analysis of BDF2 finite difference method for fourth-order integro-differential equation	scientific article; zbMATH DE number 7394339

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instance of

scholarly article

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title

Analysis of BDF2 finite difference method for fourth-order integro-differential equation (English)

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Computational and Applied Mathematics

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publication date

10 September 2021

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zbMATH Keywords

fractional differential equation

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BDF2 scheme

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finite difference method

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stability and convergence

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40314-021-01449-y

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cites work

Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives

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Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation

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Conduction of heat in solids

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A second-order BDF compact difference scheme for fractional-order Volterra equation

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Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels

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A backward Euler difference scheme for the integro-differential equations with the multi-term kernels

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A fully discrete direct discontinuous Galerkin Method for the fractional diffusion-wave equation

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A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient

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Collocation methods for general Caputo two-point boundary value problems

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Collocation methods for general Riemann-Liouville two-point boundary value problems

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Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

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A mixed finite element method for a time-fractional fourth-order partial differential equation

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A Difference Scheme for a Nonlinear Partial Integrodifferential Equation

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Discretized Fractional Calculus

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Convolution quadrature and discretized operational calculus. I

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Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

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Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

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An integro-differential equation with application in heat flow

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Well-posedness of time-fractional advection-diffusion-reaction equations

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Regularity theory for time-fractional advection-diffusion-reaction equations

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A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels

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Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

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Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation

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Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution

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Quintic spline technique for time fractional fourth-order partial differential equation

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Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

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Parabolic and hyperbolic contours for computing the Bromwich integral

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The global behavior of time discretization for an abstract Volterra equation in Hilbert space

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Crank-Nicolson/quasi-wavelets method for solving fourth order partial integro-differential equation with a weakly singular kernel

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Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation

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An efficient spline collocation method for a nonlinear fourth-order reaction subdiffusion equation

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Identifiers

zbMATH Open document ID

1476.65180

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Mathematics Subject Classification ID

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10.1007/S40314-021-01449-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:1983888