Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation (Q6498420)

scientific article; zbMATH DE number 7843796

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English	Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation	scientific article; zbMATH DE number 7843796

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instance of

scholarly article

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title

Sixth-order quasi-compact difference scheme for the time-dependent diffusion equation (English)

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Japan Journal of Industrial and Applied Mathematics

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publication date

7 May 2024

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MaRDI profile type

MaRDI publication profile

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cites work

The non-classical solution for the inhomogeneous nonlinear diffusion equation

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Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method

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Q3041596

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New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations

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The Numerical Solution of Parabolic and Elliptic Differential Equations

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High-order compact boundary value method for the solution of unsteady convection-diffusion problems

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A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients

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An accurate LOD scheme for two-dimensional parabolic problems

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Efficient and accurate numerical methods for the multidimensional convection-diffusion equations

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Extension of high-order compact schemes to time-dependent problems

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High order ADI method for solving unsteady convection-diffusion problems

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A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems

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A high-order Padé ADI method for unsteady convection-diffusion equations

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A rational high-order compact ADI method for unsteady convection-diffusion equations

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A CCD-ADI method for unsteady convection-diffusion equations

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

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Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations

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High-order compact ADI methods for parabolic equations

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Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations

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Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations

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Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes

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A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation

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Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number

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An optimal compact sixth-order finite difference scheme for the Helmholtz equation

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Sixth-order quasi-compact difference schemes for 2D and 3D Helmholtz equations

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A sixth-order quasi-compact difference scheme for multidimensional Poisson equations without derivatives of source term

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High-order finite difference methods for the Helmholtz equation

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Q4040931

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Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation

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Identifiers

Mathematics Subject Classification ID

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10.1007/S13160-023-00628-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:6498420