A combined integrating-and differentiating-matrix formulation for boundary-value problems on rectangular domains

DOI10.1007/BF00038705zbMath0601.73074MaRDI QIDQ1081390

William D. Lakin

Publication date: 1986

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

zbMATH Keywords

transverse vibrationsmatrix problemsflow chartnear-boundary pointsbiharmonc eigenvalue problemboundary-value problems on rectangular domainsfinite-dimensional solution vectorintegrating and differentiating matrices as approximation for matrix integro-partial differential equationsimply- supported rectangular platestandard matrix eigenvalue problemtwo- dimensional grid of discrete pointswith non-uniform spacing in both directions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Applications to the sciences (65Z05)

Cites Work

• Differentiating matrices for arbitrarily spaced grid points

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