The solution of the biharmonic equation in a rectangular region by Chebyshev series

DOI10.1016/0045-7825(81)90169-9zbMath0472.65085OpenAlexW2001202274MaRDI QIDQ1157889

C. P. Murphy, David J. Evans

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90169-9

zbMATH Keywords

Chebyshev polynomialsbiharmonic equationrecurrence relations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (1)

Thermoelastic stability analysis of laminated composite plates: an analytical approach

Cites Work

• Unnamed Item
• Unnamed Item
• An automatic procedure for the solution of fourth order differential equations by chebyshev polynomials
• Recurrence Relations for the Coefficients in Chebyshev Series Solutions of Ordinary Differential Equations
• A flexible variable order extrapolation technique for solving non-stiff ordinary differential equations

This page was built for publication: The solution of the biharmonic equation in a rectangular region by Chebyshev series