@Article{JNMA-7-1886,
author = {A , Dang Quang and Long , Dang Quang},
title = {Existence, Uniqueness and Fourth-Order Numerical Method for Solving Fully Third-Order Nonlinear ODE with Integral Boundary Conditions},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {5},
pages = {1886--1904},
abstract = {<p style="text-align: justify;">In this paper, we establish the existence, uniqueness and construct
fourth-order numerical method for solving fully third-order nonlinear differential equation with integral boundary conditions. The method is based on the
discretization of an iterative method on continuous level with the use of the
trapezoidal quadrature formulas with corrections. Some examples demonstrate
the applicability of the theoretical results of existence and uniqueness of solution and the fourth-order convergence of the proposed numerical method. The
approach used for the third-order nonlinear differential equation with integral
boundary conditions can be applied to differential equations of any order.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.1886},
url = {http://global-sci.org/intro/article_detail/jnma/24396.html}
}