Orthogonal spline collocation methods for biharmonic problems

DOI10.1007/s002110050368zbMath0908.65103OpenAlexW2072493815MaRDI QIDQ1266318

Bernard Bialecki, Zhou-Ming Lou, Graeme Fairweather

Publication date: 4 March 1999

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050368

zbMATH Keywords

Dirichlet problemerror boundsbiharmonic equationHermite cubicsorthogonal spline collocation methods

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) Error bounds for boundary value problems involving PDEs (65N15) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (10)

Mixed finite element methods for a fourth order reaction diffusion equation ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles ⋮ Spline functions, the biharmonic operator and approximate eigenvalues ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ A quadratic spline collocation method for the Dirichlet biharmonic problem ⋮ Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation ⋮ A Legendre Spectral Collocation Method for the Biharmonic Dirichlet Problem

Uses Software

• COLROW

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