In this article, an operational matrix approach is presented to solve the Riccati type differential equations with functional arguments. These equations are encountered in Mathematical Physics. The method is based on the least-squares approximation and the operational matrices of integration and product. By obtaining the operation matrices for each term of the problem, the method converts the problem to a system of nonlinear algebraic equations. The roots of last system are used in determination of unknown function. Error analysis is made. Numerical applications are given to show efficiency of the method and also the comparisons are made with other methods from literature. In applications of the method, it is observed from the applications that the suggested method gives effective results.

在本文中，提出了一种操作矩阵方法来求解带函数参数的Riccati型微分方程。在数学物理学中遇到这些方程。该方法基于最小二乘近似以及积分和乘积的运算矩阵。通过获得问题的每个项的运算矩阵，该方法将问题转换为非线性代数方程组。最后系统的根用于确定未知功能。进行错误分析。数值应用表明了该方法的有效性，并且与文献中的其他方法进行了比较。在该方法的应用中，从应用中观察到所建议的方法给出了有效的结果。