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 for 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 terms of implementation and computational cost.

翻译：Sinc配置法已知对第二类Fredholm积分方程高效，即使方程中的函数具有端点奇异性。然而，现有方法存在配置点不一致的缺陷。这种不一致性使得此类方法的实现复杂化，尤其对于大规模问题。为克服此缺陷，本研究提出另一种具有一致配置点的Sinc配置法。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性质。数值实验表明，所提方法在实现性和计算成本方面具有优越性。