Approximation of a function by the extended Chebyshev wavelet method of first kind and its applications
Abstract
In this paper, we have first introduced the Extended Chebyshev wavelet of first kind. Then, it is used to calculate the approximation error of a function having its first and second derivatives bounded. Also, we have solved various differential equations like the Hermite differential equation of order zero, nonlinear Riccati differential equation, and differential equation corresponding to radioactive decay using this wavelet technique to show the usefulness of this method.
Copyright © 2025 Vivek Kumar Sharma, Vaibhav Ranjan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
V. K. Sharma, V. Ranjan, Approximation of a function by the extended Chebyshev wavelet method of first kind and its applications, J. Math. Comput. Sci. 15 (2025), 6. https://doi.org/10.28919/jmcs/8968
BibTeX
@article{Sharma2025,
author = {Sharma, Vivek Kumar and Ranjan, Vaibhav},
title = {Approximation of a function by the extended Chebyshev wavelet method of first kind and its applications},
journal = {J. Math. Comput. Sci.},
volume = {15},
year = {2025},
pages = {6},
doi = {10.28919/jmcs/8968}
}