The numerical method developed in the current paper is based on the moving least squares (MLS) method. To this end, the MLS approximation method has been used, and a program has been made which can solve the system of Volterra integral equations (VIEs) with any number of equations and unknown functions. And then the proposed method is implemented on the system of linear VIEs with variable coefficients. The numerical examples are given that show the acceptable accuracy and efficiency of the proposed scheme.

中文翻译：

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移动最小二乘算法在求解Volterra积分方程组中的应用

当前论文中开发的数值方法基于移动最小二乘法 (MLS) 方法。为此，采用了MLS近似方法，并编制了一个程序，可以求解具有任意数量方程和未知函数的Volterra积分方程组(VIE)。然后在具有可变系数的线性 VIE 系统上实现所提出的方法。给出的数值例子显示了所提出方案的可接受的精度和效率。