A spline collocation approach for a generalized wave equation subject to non-local conservation condition

DOI10.1016/j.amc.2010.10.005zbMath1206.65238OpenAlexW1988240764MaRDI QIDQ618096

A. Sayfy, Khuri, Suheil A.

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.005

zbMATH Keywords

stabilitynumerical examplesfinite elementspline collocationgeneralized wave equationnon-local conservation condition

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems ⋮ Self-adjoint singularly perturbed second-order two-point boundary value problems: a patching approach ⋮ The boundary layer problem: a fourth-order adaptive collocation approach ⋮ A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem ⋮ Numerical solution of a class of nonlinear partial differential equations by using barycentric interpolation collocation method ⋮ Orthogonal cubic spline basis and its applications to a partial integro-differential equation with a weakly singular kernel ⋮ An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions ⋮ Unnamed Item

Cites Work

• Numerical solution of a parabolic equation with non-local boundary specifications
• Application of cubic B-spline finite element technique to the thermistor problem.
• A numerical procedure for diffusion subject to the specification of mass
• The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
• A numerical method for the wave equation subject to a nonlocal conservation condition
• On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
• The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
• On cubic spline approximations for the vortex patch problem
• On some 4-point spline collocation methods for solving second-order initial value problems

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