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arXiv · 2306.15175

Error analyses of Sinc-collocation methods for exponential decay initial value problems

Tomoaki Okayama·Ryota Hara·Shun'ichi Goto
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Abstract

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.

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Tomoaki Okayama, Ryota Hara, Shun'ichi Goto. 2023-06-27. Error analyses of Sinc-collocation methods for exponential decay initial value problems. https://doi.org/10.1587/nolta.15.630

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