In this paper, the Laguerre polynomials have been manipulated to develop the approximate solutions of the linear system of Fredholm integral equations (SFIEs). The method converted the system of integral equations (IEs) into a system of linear algebraic equations which can be solved using any standard method. The accuracy of the proposed method has, also, been discussed and explored via different examples which shows that the method is more efficient than the existing techniques.

中文翻译：

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求解Fredholm积分方程线性系统的Laguerre方法。

本文通过操纵Laguerre多项式来开发Fredholm积分方程（SFIE）线性系统的近似解。该方法将积分方程组（IEs）转换为线性代数方程组，可以使用任何标准方法求解。还通过不同的示例讨论和探索了所提出方法的准确性，这表明该方法比现有技术更有效。