On existence, uniqueness and convergence of approximate solution of boundary value problems related to the nonlinear operator \[ Au:=-(k((u')^2)u')'+g(u) \]

DOI10.1016/S0096-3003(03)00662-3zbMath1061.65071OpenAlexW2061770271MaRDI QIDQ5970366

Alemdar Hasanov

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00662-3

zbMATH Keywords

convergencenumerical examplesfinite difference schemeerror boundsecond-order ordinary differential equationsnonlinear two-point boundary value problemsmonotone iteration scheme

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

Solvability conditions and monotone iterative scheme for boundary-value problems related to nonlinear monotone potential operators ⋮ Determination of the flexural rigidity of a beam from limited boundary measurements

Cites Work

• Über die Existenz der Lösungen von Randwertaufgaben bei gewöhnlhichen nichtlinearen Differentialgleichungen zweiter Ordnung
• On some non-linear elliptic differential functional equations
• Nonlinear partial differential equations in engineering. Vol. II
• An Inverse Problem for an Elastoplastic Medium
• Equivalent Norms for Sobolev Spaces
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