Compact difference schemes on a three-point stencil for second-order hyperbolic equations

DOI10.1134/S0012266121070090zbMath1496.65124OpenAlexW3195742289MaRDI QIDQ2047653

Hoang Thi Kieu Anh, Piotr P. Matus

Publication date: 23 August 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121070090

zbMATH Keywords

ompact difference schemessecond-order quasilinear hyperbolic equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Perturbations in context of PDEs (35B20) Finite difference methods for boundary value problems involving PDEs (65N06) Second-order hyperbolic equations (35L10) Second-order quasilinear hyperbolic equations (35L72)

Related Items (5)

Approximation of the derivatives beyond Taylor expansion ⋮ Unnamed Item ⋮ Compact and monotone difference schemes for the generalized Fisher equation ⋮ Compact difference schemes on a three-point stencil for hyperbolic-parabolic equations with constant coefficients ⋮ Compact difference schemes for the multidimensional Klein-Gordon equation

Cites Work

• Coefficient stability of three-level operator-difference schemes
• Two-level finite difference scheme of improved accuracy order for time-dependent problems of mathematical physics
• Exact Finite-Difference Schemes
• Fourth‐order compact and energy conservative scheme for solving nonlinear Klein‐Gordon equation
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