Existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space

DOI10.1155/2010/459754zbMath1364.34029OpenAlexW2040581111WikidataQ59250265 ScholiaQ59250265MaRDI QIDQ2381003

Xueqin Lv, Ming-Gen Cui

Publication date: 13 April 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/459754

Mathematics Subject Classification ID

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

Related Items (5)

A new method for high-order boundary value problems ⋮ On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument ⋮ A novel fixed point iteration method for the solution of third order boundary value problems ⋮ A two-step hybrid block method with fourth derivatives for solving third-order boundary value problems ⋮ The convergence properties of the Green's function method for third order functional differential equations

Cites Work

• Numerical solution of the Falkner--Skan equation using piecewise linear functions
• Solvability of a third-order two-point boundary value problem
• Existence and uniqueness of solutions for third-order nonlinear boundary value problems
• Existence of monotone positive solutions to a third order two-point generalized right focal boundary value problem
• A finite difference method for the Falkner-Skan equation
• A numerical method for the solution of the Falkner-Skan equation
• The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.
• On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions.
• A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations
• Existence result for some third order separated boundary value problems.
• On some third order nonlinear boundary value problems: Existence, location and multiplicity results
• Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order
• Differential Inequalities of Higher Order and the Asymptotic Solution of Nonlinear Boundary Value Problems

This page was built for publication: Existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space