An Approximate Algorithm for a Kirchhoff Wave Equation

DOI10.1137/070711876zbMath1197.65230OpenAlexW2094437216MaRDI QIDQ3578073

Jemal Peradze

Publication date: 13 July 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070711876

zbMATH Keywords

algorithmprojection methoderror estimatedifference methodKirchhoff wave equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Related Items (11)

Numerical analysis for a nonlinear model of elastic strings with moving ends ⋮ On the Accuracy of the Galerkin Method for a Nonlinear Dynamic Beam Equation ⋮ Legendre–Galerkin spectral approximation for a nonlocal elliptic Kirchhof-type problem ⋮ A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation ⋮ A Kirchhoff type equation in a nonlinear model of shell vibration ⋮ A numerical algorithm for the nonlinear Timoshenko beam system ⋮ Numerical results for a fourth‐order nonlinear wave equation of Kirchhoff type with a viscoelastic term ⋮ Chipot's method for a one-dimensional Kirchhoff static equation ⋮ Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary ⋮ On stability and convergence of a three-layer semi-discrete scheme for an abstract analogue of the Ball integro-differential equation

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