Numerical methods for fourth-order nonlinear elliptic boundary value problems

DOI10.1002/num.1016zbMath0989.65120OpenAlexW2051167868MaRDI QIDQ2747810

Chia-Ven Pao

Publication date: 15 July 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1016

zbMATH Keywords

convergenceupper and lower solutionsfinite difference systemmaximal and minimal solutionsmonotone iterationsfourth-order elliptic equationsmonotone iterative schemestwo-point boundary problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (18)

Optimal error estimates of mixed finite element methods for a fourth-order nonlinear elliptic problem ⋮ Monotone iterative technique for numerical solutions of fourth-order nonlinear elliptic boundary value problems ⋮ Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems ⋮ A new coupled high-order compact method for the three-dimensional nonlinear biharmonic equations ⋮ A monotone iterative technique for nonlinear fourth order elliptic equations with nonlocal boundary conditions ⋮ A novel efficient method for nonlinear boundary value problems ⋮ Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity ⋮ Positive solutions of biharmonic elliptic problems with a parameter ⋮ Unnamed Item ⋮ Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions ⋮ Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems ⋮ Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems ⋮ Error analysis of a compact finite difference method for fourth-order nonlinear elliptic boundary value problems ⋮ On fourth-order elliptic boundary value problems with nonmonotone nonlinear function ⋮ Nonlinear fourth-order elliptic equations with nonlocal boundary conditions ⋮ Wavelet Galerkin method for fourth-order multi-dimensional elliptic partial differential equations ⋮ A fourth-order compact finite difference method for higher-order lidstone boundary value problems

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• Finite difference reaction diffusion equations with nonlinear boundary conditions
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