An application of s-elementary wavelets in numerical solution of differential and fractional integral equations. Kheirdeh, M. J., Askari hemmat , A., & Saeedi, H. Journal of Mahani Mathematical Research, Shahid Bahonar University of Kerman, 2022. ![An application of s-elementary wavelets in numerical solution of differential and fractional integral equations [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex In this article we introduce wavelet sets and consider a special wavelet set in R. We build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order $α >0$, numerically. Convergence analysis of this basis is investigated. Also, we give examples that show the accuracy of the new method by comparing it with previous methods.
@article {kheirdeh2022_selemnt,
author = {Kheirdeh, Mohammad Javad and Askari hemmat, Ataollah and Saeedi, Habibollah},
title = {An application of s-elementary wavelets in numerical solution of differential and fractional integral equations},
journal = {Journal of Mahani Mathematical Research},
volume = {},
number = {},
pages = {15-31},
year = {2022},
publisher = {Shahid Bahonar University of Kerman},
issn = {2251-7952},
eissn = {2645-4505},
doi = {10.22103/jmmrc.2022.18821.1193},
abstract = {In this article we introduce wavelet sets and consider a special wavelet set in R. We build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order $\alpha >0$, numerically. Convergence analysis of this basis is investigated. Also, we give examples that show the accuracy of the new method by comparing it with previous methods.},
keywords = {Integro-differential equations,Fractional calculus,Wavelet sets,s-elementary wavelets},
url = {https://jmmrc.uk.ac.ir/article_3260.html},
eprint = {https://jmmrc.uk.ac.ir/article_3260_40b44a8692c0c11f8133b6e1700c3008.pdf}
}
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