On local convergence of a symmetric semi-discrete scheme for an abstract analogue of the Kirchhoff equation

DOI10.1016/j.cam.2011.07.003zbMath1318.74018OpenAlexW2043077394MaRDI QIDQ432791

Jemal L. Rogava, Mikheil Tsiklauri

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.07.003

zbMATH Keywords

wave equationCauchy problemerror estimatethree-layer scheme

Mathematics Subject Classification ID

Related Items (2)

On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation ⋮ Chipot's method for a one-dimensional Kirchhoff static equation

Cites Work

• A Galerkin method for a nonlinear integro-differential wave system
• On a global solution of some quasilinear hyperbolic equation
• On a new class of nonlinear wave equations
• A class of nonlinear hyperbolic problems with global solutions
• Effect of moving boundaries on the vibrating elastic string.
• Global solvability to the Kirchhoff equation for a new class of initial data
• Global existence for abstract evolution equations of weakly hyperbolic type
• Linear perturbations of the Kirchhoff equation
• A numerical algorithm for the nonlinear Kirchhoff string equation
• Mathematical analysis of the nonlinear model for the vibrations of a string
• On the Well-Posedness of the Kirchhoff String
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