An improved quasilinearization method for second order nonlinear boundary value problems

DOI10.1006/jmaa.1997.5583zbMath0893.34015OpenAlexW2083042268MaRDI QIDQ1378658

J. Ning

Publication date: 24 August 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5583

zbMATH Keywords

lower and upper solutionsquasilinearizationtwo-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical analysis in abstract spaces (65J99)

Related Items (7)

A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations ⋮ A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems ⋮ A numerical approach to nonlinear two-point boundary value problems for ODEs ⋮ The generalized quasilinearization technique for a second order differential equation with separated boundary conditions ⋮ Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method ⋮ Analysis of optimal superconvergence of a local discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

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• Improved generalized quasilinearization (GQL) method

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