A new unconditionally stable compact difference scheme of \(O(\tau ^2+h^4)\) for the 1D linear hyperbolic equation

DOI10.1016/j.amc.2008.10.024zbMath1159.65080OpenAlexW1996291900MaRDI QIDQ1004239

Heng-Fei Ding, Yu-Xin Zhang

Publication date: 2 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.024

zbMATH Keywords

stabilityerror estimatesnumerical exampleslinear hyperbolic equationhigh accuracycompact difference scheme

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order hyperbolic equations (35L15)

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• An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
• High‐order compact scheme for the steady stream‐function vorticity equations
• New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations

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