Nurmuhammad et al. developed Sinc-Nystr\"{o}m methods for initial value problems in which solutions exhibit exponential decay end behavior. In the methods, the Single-Exponential (SE) transformation or the Double-Exponential (DE) transformation is combined with the Sinc approximation. Hara and Okayama improved those transformations so that a better convergence rate could be attained, which was afterward supported by theoretical error analyses. However, due to a special function included in the basis functions, the methods have a drawback for computation. To address this issue, Okayama and Hara proposed Sinc-collocation methods, which do not include any special function in the basis functions. This study gives error analyses for the methods.

翻译：Nurmuhammad等人提出了针对解呈现指数衰减末端行为的初值问题的Sinc-Nyström方法。这些方法将单指数（SE）变换或双指数（DE）变换与Sinc近似相结合。Hara和Okayama改进了这些变换以实现更优的收敛速率，这一改进随后获得了理论误差分析的支持。然而，由于基函数中包含特殊函数，这些方法在计算上存在缺陷。为解决此问题，Okayama和Hara提出了Sinc-配置方法，其基函数不包含任何特殊函数。本研究给出了这些方法的误差分析。