In this article, a model of a T-shaped fin, consisting of a set of ordinary differential equations (ODEs), is considered. The purpose of this article is to numerically solve ODE systems of a T-shaped fin (there is no reported exact and analytical solution) using an alternative approach. Utilizing a base approximation function, some mathematical principles and metaheuristics, an approximate solution very close to the existing numerical solution was found. The weighted residual function is used as an objective function along with its constraints, such as boundary and initial values. For the sake of comparison, a generational distance metric is used to evaluate the obtained results compared with the existing results in the literature. The approximate solution found by the applied approach demonstrates its efficiency and performance compared with the existing numerical approach.

在本文中，考虑了一个由一组常微分方程 (ODE) 组成的 T 形鳍模型。本文的目的是使用替代方法对 T 形鳍的 ODE 系统进行数值求解（没有报道的精确解和解析解）。利用基本近似函数、一些数学原理和元启发式，找到了非常接近现有数值解的近似解。加权残差函数与其约束条件一起用作目标函数，例如边界和初始值。为了进行比较，使用代距离度量来评估所获得的结果与文献中现有结果的比较。