On a high-order iterative scheme for a nonlinear Love equation.

DOI10.1007/S10492-015-0096-4zbMath1363.65180OpenAlexW1012830878MaRDI QIDQ499018

Nguyen Tuan Duy, Nguyen Thanh Long, Le Thi Phuong Ngoc

Publication date: 29 September 2015

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144264

zbMATH Keywords

weak solutioniterative schemeFaedo-Galerkin methodnonlinear Love equationconvergence of order \(N\)

Mathematics Subject Classification ID

Surface waves in solid mechanics (74J15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (4)

Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions. ⋮ Unnamed Item ⋮ Local existence and global nonexistence of a solution for a love equation with infinite memory ⋮ Unnamed Item

Cites Work

• Existence and properties of solutions of a boundary problem for a Love's equation
• A linear recursive scheme associated with the Love equation
• Decay of solutions of some nonlinear wave equations
• An \(N\)-order iterative scheme for a nonlinear Kirchhoff-Carrier wave equation associated with mixed homogeneous conditions
• A high order iterative scheme for a nonlinear Kirchhoff wave equation in the unit membrane
• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• High-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed homogeneous conditions
• The \(n\)-order iterative schemes for a nonlinear Kirchhoff-Carrier wave equation associated with the mixed inhomogeneous conditions
• Recurrence relations for a Newton-like method in Banach spaces
• A symmetric regularized-long-wave equation
• New similarity reductions and Painleve analysis for the symmetric regularised long wave and modified Benjamin-Bona-Mahoney equations
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