A Linearly Implicit One-Step Time Integration Scheme For Nonlinear Hyperbolic Equations In Two Space Dimensions

DOI10.1080/0020716022000002800zbMath1028.65102OpenAlexW1972577322MaRDI QIDQ4709855

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

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1080/0020716022000002800

zbMATH Keywords

comparison of methodsnumerical examplesunconditional stabilitymethod of linessemidiscretizationsine-Gordon equationnonlinear hyperbolic equationslocally one-dimensionalNewmark schemeone-step time integrationlinearly implicit one-step scheme

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities ⋮ Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term ⋮ Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method

Cites Work

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