Solving 2D-wave problems by the iterative differential quadrature method

DOI10.1080/00207160.2010.543133zbMath1229.65189OpenAlexW2047375872MaRDI QIDQ3101641

Stefania Tomasiello

Publication date: 29 November 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.543133

zbMATH Keywords

wave equationnumerical examplesnumerical stabilityvibrating membranedifferential quadrature method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Membranes (74K15) Linear waves in solid mechanics (74J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Numerical simulation of three-dimensional telegraphic equation using cubic B-spline differential quadrature method ⋮ A numerical study of two-dimensional coupled systems and higher order partial differential equations ⋮ A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

Cites Work

• A DQ based approach to simulate the vibrations of buckled beams
• A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena
• A localized differential quadrature (LDQ) method and its application to the 2D wave equation
• Block-marching in time with DQ discretization: An efficient method for time-dependent problems
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• Differential quadrature and longterm integration
• Simulating non-linear coupled oscillators by an iterative differential quadrature method
• A generalization of the IDQ method and a DQ-based approach to approximate non-smooth solutions in structural analysis

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