Linear recursive schemes associated with the nonlinear wave equation involving Bessel's operator

DOI10.1016/S0895-7177(01)00082-6zbMath0994.35092OpenAlexW2170660812MaRDI QIDQ1600436

D. Thi Thanh Binh, Pham Ngoc Dinh, Alain, Nguyen Thanh Long

Publication date: 13 June 2002

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

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00082-6

zbMATH Keywords

existence and uniquenessnonlinear vibration of the unit membrane

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

High-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed homogeneous conditions ⋮ A high order iterative scheme for a nonlinear Kirchhoff wave equation in the unit membrane ⋮ The \(n\)-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed inhomogeneous conditions

Cites Work

• On the quasilinear wave equation with a mixed nonhomogeneous condition
• Periodic solutions of a nonlinear parabolic equation associated with the penetration of a magnetic field into a substance
• Linear Recursive Schemes Associated with Some Nonlinear Partial Differential Equations in One Dimension and the Tau Method
• On the quasilinear wave equation: utt − Δu + f(u, ut) = 0 associated with a mixed nonhomogeneous condition
• On the nonlinear wave equation uu - uxx = f(x,t,u,ux,ut) associated with the mixed homogenous conditions
• Mixed problem for some semi-linear wave equation with a nonhomogeneous condition
• A semilinear wave equation associated with a linear differential equation with Cauchy data
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