Unconditional stability of alternating difference schemes with variable time steplengthes for dispersive equation

DOI10.1016/j.amc.2015.04.037zbMath1410.65308OpenAlexW227478512MaRDI QIDQ1663412

Bo Liu, Shujuan Lü, Ge-yang Guo

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.037

zbMATH Keywords

unconditional stabilitydispersive equationalternating difference schemesvariable time step lengthes

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)

Related Items

A class of explicit–implicit alternating parallel difference methods for the two-dimensional Black–Scholes equation ⋮ 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 class of difference methods with intrinsic parallelism for Burgers-Fisher equation ⋮ A new parallel algorithm for solving parabolic equations ⋮ Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation ⋮ An Alternating Segment Explicit-Implicit Scheme with Intrinsic Parallelism for Burgers’ Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation
• The alternating segment explicit-implicit scheme for the dispersive equation
• A new ADI technique for two-dimensional parabolic equation with an integral condition
• An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations
• Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• An unconditionally stable alternating segment difference scheme of eight points for the dispersive equation
• Group explicit methods for parabolic equations
• A class of alternating block crank-nicolson method
• Alternating group explicit method for the dispersive equation
• Unconditional stability of parallel difference schemes with variable time steplengths for heat equations^∗
• Efficient Parallel Algorithms for Parabolic Problems
• Saulyev'S Techniques For Solving A Parabolic Equation With A Non Linear Boundary Specification
• 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