A new DQ-based method and its application to the stability of columns

DOI10.1016/j.amc.2013.10.015zbMath1354.65161OpenAlexW2062782762MaRDI QIDQ505728

Stefania Tomasiello

Publication date: 26 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.015

zbMATH Keywords

Lagrange polynomialscritical loaddifferential quadraturegrid points

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (4)

A modified exponential method that preserves structural properties of the solutions of the Burgers–Huxley equation ⋮ A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution ⋮ A new least-squares DQ-based method for the buckling of structures with elastic supports ⋮ Numerical method for stability analysis of functionally graded beams on elastic foundation

Cites Work

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• A note on three numerical procedures to solve Volterra integro-differential equations in structural analysis
• Stability and accuracy of DQ-based step-by-step integration methods for structural dynamics
• Post-buckling of uniform cantilever column under a combined load
• Post-buckling of cantilever columns having variable cross-section under a combined load
• Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method
• Post-buckling of a cantilever rod with variable cross-sections under combined load
• Some remarks on a new DQ-based method for solving a class of Volterra integro-differential equations
• Differential quadrature and longterm integration
• The large deformation, post-buckling and catastrophic stability of slender cantilever columns

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