Alternating group explicit method for the dispersive equation

DOI10.1080/00207160008804967zbMath0960.65085OpenAlexW2102867732MaRDI QIDQ4498119

Shaohong Zhu, Long-jun Shen, Guang-Wei Yuan

Publication date: 3 May 2001

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

Full work available at URL: https://doi.org/10.1080/00207160008804967

zbMATH Keywords

stabilityfinite difference methodnumerical examplesdispersive equationalternating group explicit method

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 higher-order parabolic equations (35K30)

Related Items (12)

Unconditional stability of alternating difference schemes with variable time steplengthes for dispersive equation ⋮ A new parallel algorithm for solving parabolic equations ⋮ A comparison between alternating segment Crank-Nicolson and explicit-implicit schemes for the dispersive equation ⋮ 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 ⋮ A higher-order alternating group explicit scheme for the diffusion equation ⋮ Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation ⋮ A highly accurate alternating 6-point group method for the dispersive equation ⋮ A four-order alternating segment Crank-Nicolson scheme for the dispersive equation ⋮ A new alternating group explicit-implicit algorithm with high accuracy for dispersive equation ⋮ The alternating segment explicit-implicit scheme for the dispersive equation ⋮ An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgers’ Equation

Cites Work

• Group explicit methods for hyperbolic equations
• Group explicit methods for parabolic equations

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