Error analyses of Sinc-Nyström methods for initial value problems

Abstract

Nurmuhammad et al. proposed two Sinc-Nyström methods for initial value problems. These two methods use different variable transformations; one method uses a single-exponential transformation and the other uses a double-exponential transformation. In the previous study, we improved their methods by replacing those variable transformations to achieve better performance. However, no error analysis of the improved methods has been conducted yet. Therefore, in this study, we perform error analyses of the improved methods.