Sinc-collocation methods are known to be efficient for Fredholm integral equations of the second kind, even if functions in the equations have endpoint singularity. However, existing methods have the disadvantage of inconsistent collocation points. This inconsistency complicates the implementation of such methods, particularly in the case of large-scale problems. To overcome this drawback, this study proposes another Sinc-collocation methods with consistent collocation points. The results of a theoretical error analysis show that the proposed methods have the same convergence property as existing methods. Numerical experiments suggest the superiority of the proposed methods in implementation and computational cost.

翻译：Sinc配置点方法已知对第二类Fredholm积分方程高效，即使方程中的函数存在端点奇异性。然而，现有方法存在配置点不一致的缺陷。这种不一致性增加了此类方法在实际应用中的实现复杂度，尤其在大规模问题中更为突出。为克服这一不足，本研究提出了一种具有一致配置点的Sinc配置点新方法。理论误差分析结果表明，所提方法具有与现有方法相同的收敛特性。数值实验表明，所提方法在实现便利性和计算成本方面均具有优越性。