Difference scheme for the dispersive equation

DOI10.1007/BF02263436zbMath0506.65036MaRDI QIDQ1836969

Meng-Zhao Qin

Publication date: 1983

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

dispersive equation

Mathematics Subject Classification ID

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

Global extrapolations of numerical methods for solving a third-order dispersive partial differential equation ⋮ Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation ⋮ An analytic study on the third-order dispersive partial differential equations. ⋮ Numerical solution to a linearized time fractional KdV equation on unbounded domains ⋮ A new non-polynomial spline method for solution of linear and non-linear third order dispersive equations ⋮ A comparison between alternating segment Crank-Nicolson and explicit-implicit schemes for the dispersive equation ⋮ A new family of three-level five-point explicit schemes with high stability properties for dispersive equation ⋮ Discrete artificial boundary conditions for the linearized Korteweg-de Vries equation ⋮ Transparent numerical boundary conditions for evolution equations: Derivation and stability analysis ⋮ A four-order alternating segment Crank-Nicolson scheme for the dispersive equation ⋮ Construction of symplectic schemes for wave equations via hyperbolic functions \(\sinh(x)\), \(\cosh(x)\) and \(\tanh(x)\) ⋮ A new method of constructing two-level four-point explicit difference schemes with higher stability properties

Cites Work

• A Hopscotch method for the Korteweg-de-Vries equation
• On finite-difference methods for the Korteweg-de Vries equation
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
• Unnamed Item