A novel efficient method for nonlinear boundary value problems

DOI10.1007/s11075-017-0264-6zbMath1378.65149OpenAlexW2569140595MaRDI QIDQ1678588

Quang Long Dang, Thi Kim Quy Ngo, Quang A. Dang

Publication date: 17 November 2017

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

Full work available at URL: https://doi.org/10.1007/s11075-017-0264-6

zbMATH Keywords

convergenceiterative methodexistence and uniqueness of solutionelastic beam equationpositivity of solutionsecond-order boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

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Cites Work

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• Existence and uniqueness theorems for fourth-order boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
• A shooting method for a nonlinear beam equation
• Iterative method for solving the Neumann boundary value problem for biharmonic type equation
• Numerical methods for fourth-order nonlinear elliptic boundary value problems

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