A class of one-step time integration schemes for second-order hyperbolic differential equations

DOI10.1016/S0895-7177(00)00253-3zbMath0973.65073OpenAlexW2031343850MaRDI QIDQ5936758

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

Publication date: 8 July 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00253-3

zbMATH Keywords

stabilitynumerical examplessine-Gordon equationextended one-step time integration schemessecond-order nonlinear hyperbolic 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

Numerical solution of evolution equations by the Haar wavelet method

Cites Work

• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• Singly-implicit stabilized extended one-step methods for second-order initial-value problems with oscillating solutions
• An extended trapezoidal formula for the diffusion equation
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