The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space (Q2058410)

scientific article; zbMATH DE number 7441561

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English	The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space	scientific article; zbMATH DE number 7441561

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instance of

scholarly article

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title

The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space (English)

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Applied Numerical Mathematics

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publication date

9 December 2021

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zbMATH Keywords

three-dimensional parabolic-type evolution equation

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ADI difference/compact difference schemes

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second-order convolution quadrature

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stability and convergence

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numerical experiments

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cites work

Algorithm 986

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Q5820721

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Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity

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Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel

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A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation

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A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation

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A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations

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Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term

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Spectral collocation methods for a partial integro-differential equation with a weakly singular kernel

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Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates

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Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method

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Ritz–Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations

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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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Numerical solution of an evolution equation with a positive-type memory term

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Fractional optimal control problems on a star graph: optimality system and numerical solution

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Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph

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Algorithm 986

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A second-order accurate numerical method for a semilinear integro-differential equation with a weakly singular kernel

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Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients

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Q4233638

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Compact alternating direction implicit scheme for integro-differential equations of parabolic type

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An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel

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An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation

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A Numerical Method for a Partial Integro-Differential Equation

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Time Discretization of an Integro-Differential Equation of Parabolic Type

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A finite difference scheme for partial integro-differential equations with a weakly singular kernel

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Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications

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High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives

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A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations

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Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels

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Q5200269

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On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data

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Finite element methods of the two nonlinear integro-differential equations

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

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The uniform \(L^2\) behavior for time discretization of an evolution equation

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Finite element methods for parabolic and hyperbolic partial integro-differential equations

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A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem

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An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation

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describes a project that uses

Algorithm 986

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2021.10.021

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Identifiers

zbMATH Open document ID

1484.65345

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2021.10.021

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Sitelinks

Mathematics(1 entry)

mardi Publication:2058410