A fast compact finite difference scheme for the fourth-order diffusion-wave equation (Q6550270)

scientific article; zbMATH DE number 7860038

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English	A fast compact finite difference scheme for the fourth-order diffusion-wave equation	scientific article; zbMATH DE number 7860038

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instance of

scholarly article

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title

A fast compact finite difference scheme for the fourth-order diffusion-wave equation (English)

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International Journal of Computer Mathematics

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publication date

5 June 2024

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MaRDI profile type

Publication

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cites work

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Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

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Numerical solution of the sine-Gordon equation

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

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Applications of Fractional Calculus to the Theory of Viscoelasticity

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A new \(\alpha\)-robust nonlinear numerical algorithm for the time fractional nonlinear KdV equation

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

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A new conservative finite difference scheme for the Rosenau equation

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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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A fully discrete difference scheme for a diffusion-wave system

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An implicit difference scheme for the fourth-order nonlinear non-local PIDEs with a weakly singular kernel

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A time two-grid algorithm for the two dimensional nonlinear fractional PIDE with a weakly singular kernel

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A nonlinear compact method based on double reduction order scheme for the nonlocal fourth-order PDEs with Burgers' type nonlinearity

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A BDF3 and new nonlinear fourth-order difference scheme for the generalized viscous Burgers' equation

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Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay

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The finite difference method for the fourth‐order partial integro‐differential equations with the multi‐term weakly singular kernel

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A second-order finite difference method for the multi-term fourth-order integral-differential equations on graded meshes

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Pointwise-in-time \(\alpha\)-robust error estimate of the ADI difference scheme for three-dimensional fractional subdiffusion equations with variable coefficients

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A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel

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A fast second‐order difference scheme for the space–time fractional equation

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Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space

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

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The uniform \(l^1\) long-time behavior of time discretization for time-fractional partial differential equations with nonsmooth data

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On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations

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The OSC solver for the fourth-order sub-diffusion equation with weakly singular solutions

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Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes

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The compact difference scheme for the fourth‐order nonlocal evolution equation with a weakly singular kernel

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Identifiers

DOI

10.1080/00207160.2024.2323985

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6550270