Iterative reproducing kernel method for a beam equation with third-order nonlinear boundary conditions

DOI10.1186/2251-7456-6-1zbMath1264.34033OpenAlexW2171509333WikidataQ59289579 ScholiaQ59289579MaRDI QIDQ1953766

Fazhan Geng

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-1

zbMATH Keywords

nonlinear boundary conditionsbeam equationfourth-order boundary value problemiterative reproducing kernel method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (4)

Boundary integral solution for a class of fourth-order two-point boundary value problems ⋮ An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems ⋮ On third-order boundary value problems with multiple characteristics ⋮ An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition

Cites Work

• Iterative solutions for a beam equation with nonlinear boundary conditions of third order
• Iterative methods for a fourth order boundary value problem
• Solving a nonlinear system of second order boundary value problems
• Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
• A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems
• The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.
• Reproducing kernel spaces and applications
• Solving singular two-point boundary value problem in reproducing kernel space
• Solving singular boundary-value problems of higher even-order
• Numerical mountain pass solutions of a suspension bridge equation
• Constructive approximation of solution for fourth-order nonlinear boundary value problems
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