A linearly implicit one-step time integration scheme for nonlinear hyperbolic equations

DOI10.1080/00207160108805031zbMath0989.65100OpenAlexW2124669233MaRDI QIDQ4528033

M. A. Al-Zanaidi, M. M. Chawla

Publication date: 15 July 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805031

zbMATH Keywords

stabilityerror boundssine-Gordon equationlinearly implicit schemenonlinear hyperbolic equationssecond order ordinary differential equationsNewmark method

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)

Related Items (4)

Tension spline approach for the numerical solution of nonlinear Klein-Gordon equation ⋮ Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term ⋮ A Linearly Implicit One-Step Time Integration Scheme For Nonlinear Hyperbolic Equations In Two Space Dimensions ⋮ Wavelet Lifting Scheme for the Numerical Solution of Dynamic Reynolds Equation for Micropolar Fluid Lubrication

Cites Work

• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
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