Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms

DOI10.1016/j.amc.2007.02.097zbMath1122.65381OpenAlexW1994078790MaRDI QIDQ2383914

Ranjan Kumar Mohanty

Publication date: 19 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.097

zbMATH Keywords

error estimatesPadé approximationhyperbolic equationsexplicit finite difference schemestability intervalfirst time stepfirst-order space derivative

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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Cites Work

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• Analytical, linear stability criteria for the leap-frog, DuFort-Frankel method
• Fourth-order approximations at first time level, linear stability analysis and the numerical solution of multidimensional second-order nonlinear hyperbolic equations in polar coordinates
• Fourth-order approximation for the three space dimensional certain mildly quasi-linear hyperbolic equation
• Linear stability analysis and fourth-order approximations at first time level for the two space dimensional mildly quasi-linear hyperbolic equations
• An explicit difference method for the wave equation with extended stability range
• Higher Order Compact Implicit Schemes for the Wave Equation
• A Note on the Operator Compact Implicit Method for the Wave Equation
• Approximate solution of initial-boundary wave equation problems by boundary-value techniques

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