A class of alternating block crank-nicolson method

DOI10.1080/00207169208804120zbMath0772.65057OpenAlexW2326356320MaRDI QIDQ4032909

Bao-Lin Zhang, Jing Chen

Publication date: 16 May 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804120

zbMATH Keywords

stabilitydiffusion equationNumerical resultsasymmetric difference schemesalternating block Crank-Nicolson scheme

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

Unconditional stability of alternating difference schemes with variable time steplengthes for dispersive equation ⋮ A new parallel algorithm for solving parabolic equations ⋮ The alternating segment Crank-Nicolson method for solving convection-diffusion equation with variable coefficient ⋮ A new alternating segment Crank-Nicolson scheme for the fourth-order parabolic equation ⋮ Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation ⋮ Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation ⋮ Alternating block Crank-Nicolson method for the 3-D heat equation ⋮ New Parallel Algorithm for Convection-Dominated Diffusion Equation ⋮ Alternating band Crank-Nicolson method for \(\partial u/\partial t=\partial^ 2 u/\partial x^ 2+ \partial^ 2 u/\partial y^ 2\)

Cites Work

• Alternating block explicit-implicit method for the two-dimensional diffusion equation
• A new explicit method for the solution of
• An Alternating Direction Method for Operator Equations

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