A weighted ADI scheme with variable time steps for diffusion-wave equations (Q6083172)

scientific article; zbMATH DE number 7757601

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English	A weighted ADI scheme with variable time steps for diffusion-wave equations	scientific article; zbMATH DE number 7757601

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instance of

scholarly article

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title

A weighted ADI scheme with variable time steps for diffusion-wave equations (English)

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31 October 2023

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zbMATH Keywords

diffusion-wave equation

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weak singularity

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ADI method

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nonuniform mesh

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10092-023-00543-3

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cites work

A new difference scheme for the time fractional diffusion equation

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Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem

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Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations

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A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition

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Compact alternating direction implicit method for two-dimensional time fractional diffusion equation

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

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An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation

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

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

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

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations

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A weighted ADI scheme for subdiffusion equations

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A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation

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A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations

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Second-order and nonuniform time-stepping schemes for time fractional evolution equations with time-space dependent coefficients

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Q5190149

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A second-order accurate numerical method for a fractional wave equation

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

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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 fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation

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A novel ADI Galerkin spectral element method for the solution of two-dimensional time fractional subdiffusion equation

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation

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\(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation

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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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A novel high order compact ADI scheme for two dimensional fractional integro-differential equations

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A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity

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Investigations on several high-order ADI methods for time-space fractional diffusion equation

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A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations

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

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Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation

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Identifiers

zbMATH Open document ID

1526.65039

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Mathematics Subject Classification ID

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10.1007/S10092-023-00543-3

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Sitelinks

Mathematics(1 entry)

mardi Publication:6083172