The construction of numerical scheme for hyperbolic equation and exact consideration of numerical diffusion and dispersion

DOI10.1016/S1007-5704(99)90031-XzbMath0930.65097MaRDI QIDQ1303318

Qing-Dong Cai

Publication date: 27 September 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

numerical exampleconsistencydifference methodTaylor expansionhyperbolic equationstruncation errorviscous Burgers equationmodified equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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