Nurmuhammad et al. developed the Sinc-Nystr\"{o}m methods for initial value problems in which the solutions exhibit exponential decay end behavior. In these methods, the Single-Exponential (SE) transformation or the Double-Exponential (DE) transformation is combined with the Sinc approximation. Hara and Okayama improved on these transformations to attain a better convergence rate, which was later supported by theoretical error analyses. However, these methods have a computational drawback owing to the inclusion of a special function in the basis functions. To address this issue, Okayama and Hara proposed Sinc-collocation methods, which do not include any special function in the basis functions. This study conducts error analyses of these methods.

翻译：Nurmuhammad等人针对解具有指数衰减末端行为的初值问题，发展了Sinc-Nyström方法。在这些方法中，单指数变换或双指数变换与Sinc近似相结合。Hara和Okayama改进了这些变换以获得更优的收敛速度，随后通过理论误差分析得以验证。然而，由于基函数中包含特殊函数，这些方法存在计算上的缺陷。为解决此问题，Okayama和Hara提出了基函数不含任何特殊函数的Sinc配置法。本研究对这些方法进行了误差分析。