Quasilinearization and approximate quasilinearization for lidstone boundary value problems

DOI10.1080/00207169208804054zbMath0782.65098OpenAlexW2094971533MaRDI QIDQ3989757

Patricia J. Y. Wong, Ravi P. Agarwal

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804054

zbMATH Keywords

quasilinearizationconvergence ratetwo-point boundary value problemsLidstone polynomials

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (16)

Sharp error bounds for the derivatives of Lidstone-spline interpolation ⋮ Explicit error bounds for the derivatives of piecewise-Lidstone interpolation ⋮ \(p/q\)-type criteria for stability analysis in higher order Cohen-Grossberg-type bidirectional associative memory neural networks with time delays ⋮ Sharp error bounds for the derivatives of Lidstone-Spline interpolation. II ⋮ Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems ⋮ Eigenvalues of complementary Lidstone boundary value problems ⋮ Odd and even Lidstone-type polynomial sequences. I: Basic topics ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Triple solutions of complementary Lidstone boundary value problems via fixed point theorems ⋮ Complementary Lidstone interpolation and boundary value problems ⋮ Lidstone approximation on the triangle ⋮ Convergence analysis of a monotone method for fourth-order semilinear elliptic boundary value problems ⋮ Piecewise complementary Lidstone interpolation and error inequalities ⋮ Characterization of eigenvalues for difference equations subject to Lidstone conditions ⋮ Odd and even Lidstone-type polynomial sequences. II: Applications ⋮ Eigenvalues of Lidstone boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Quasilinearization and approximate quasilinearization for multipoint boundary value problems
• A family of numerical methods for the solution of high-order general initial value problems
• Numerical methods for unilateral problems
• Boundary value problems occurring in plate deflection theory
• Lidstone polynomials and boundary value problems
• Quasilinearization and invariant imbedding. With applications to chemical engineering and adaptive control
• Localised instability in a bénard layer
• A sixth-order multiderivative method for two beam problems
• Multiderivative methods for nonlinear beam problems
• Finite difference methods for two-point boundary value problems involving high order differential equations

This page was built for publication: Quasilinearization and approximate quasilinearization for lidstone boundary value problems