Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation

DOI10.1016/j.camwa.2016.03.004zbMath1443.65125OpenAlexW2337795902MaRDI QIDQ2007235

Shujuan Lü, Ge-yang Guo

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.03.004

zbMATH Keywords

unconditional stabilityintrinsic parallelismalternating difference schemestwo-dimensional fourth-order diffusion equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (7)

Parallel 3D ADI Scheme for Partially Dimension Reduced Heat Conduction Problem ⋮ The splitting Crank-Nicolson scheme with intrinsic parallelism for solving parabolic equations ⋮ A Samarskii domain decomposition method for two-dimensional convection-diffusion equations ⋮ A new parallel algorithm for solving parabolic equations ⋮ A very high-order finite volume method based on weighted least squares for elliptic operators on polyhedral unstructured grids ⋮ A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations ⋮ Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space

Cites Work

• A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations
• Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
• Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
• Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation
• A four-order alternating segment Crank-Nicolson scheme for the dispersive equation
• The alternating segment explicit-implicit scheme for the dispersive equation
• Unconditional stability of alternating difference schemes with variable time steplengthes for dispersive equation
• ADI schemes for higher-order nonlinear diffusion equations.
• Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation
• An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations
• 2D parallel and stable group explicit finite difference method for solution of diffusion equation
• Numerical solutions of the generalized kuramoto-sivashinsky equation using B-spline functions
• Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation
• An unconditionally stable alternating segment difference scheme of eight points for the dispersive equation
• An efficient explicit/implicit domain decomposition method for convection-diffusion equations
• Group explicit methods for parabolic equations
• A new explicit method for the solution of
• A class of alternating block crank-nicolson method
• Alternating group explicit method for the dispersive equation
• Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems
• A highly accurate alternating 6-point group method for the dispersive equation
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