A fourth order finite difference method for the Dirichlet biharmonic problem

DOI10.1007/s11075-012-9536-3zbMath1256.65092OpenAlexW2052766015MaRDI QIDQ1762494

Bernard Bialecki

Publication date: 27 November 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9536-3

zbMATH Keywords

numerical examplesfast Fourier transformsfinite differencepreconditioned conjugate gradient methodcoupled approachDirichlet biharmonic problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06) Preconditioners for iterative methods (65F08)

Related Items (7)

On a generalized diffusion problem: a complex network approach ⋮ A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations ⋮ Iterative method to solve a data completion problem for biharmonic equation for rectangular domain ⋮ A quadratic spline collocation method for the Dirichlet biharmonic problem ⋮ Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition ⋮ A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes ⋮ An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem

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