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 a drawback of inconsistent collocation points. The inconsistency makes implementation complicated, especially in the case of large-scale problems. To overcome the drawback, this study proposes another Sinc-collocation methods with consistent collocation points. By theoretical error analysis, this study shows 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配点法以其高效性著称，适用于第二类Fredholm积分方程，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，这种不一致性使得实现过程复杂化，尤其是在大规模问题中。为克服这一缺陷，本研究提出了另一种具有一致配置点的Sinc配点法。通过理论误差分析，研究表明所提方法具有与现有方法相同的收敛性质。数值实验表明，所提方法在实现简便性和计算成本方面具有优越性。