Existence results and numerical method for a fourth order nonlinear problem

DOI10.1007/s40819-018-0584-9zbMath1404.34025OpenAlexW2900666889MaRDI QIDQ1627746

Nguyen Thanh Huong, Quang A. Dang

Publication date: 3 December 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-018-0584-9

zbMATH Keywords

iterative methoddifference schemeexistence and uniqueness of solutionfully fourth order nonlinear boundary value problem

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)

Related Items (3)

Existence results and numerical method for solving a fourth-order nonlinear integro-differential equation ⋮ Existence results and iterative method for a fully fourth-order nonlinear integral boundary value problem ⋮ Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem

Cites Work

• Existence results and iterative method for solving the cantilever beam equation with fully nonlinear term
• Constructive proof of existence for a class of fourth-order nonlinear BVPs
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• A novel efficient method for nonlinear boundary value problems
• Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem
• The upper and lower solution method for some fourth-order boundary value problems
• General explicit difference formulas for numerical differentiation

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