Comprehensive review of numerical schemes based on Hermite wavelets
Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar, Punjab, India.
Review Article
World Journal of Advanced Research and Reviews, 2022, 15(03), 240–247
Article DOI: 10.30574/wjarr.2022.15.3.0908
Publication history:
Received on 07 August 2022; revised on 14 September 2022; accepted on 16 September 2022
Abstract:
Differential and integral equations are encountered in many applications of science and engineering and many mathematical models have also been formulated in terms of these equations. Due to some shortcomings of the already existing numerical methods, researchers are making efforts to find more efficient alternatives for obtaining solutions of many practical and physical problems giving rise to differential or integral equations. As a result, wavelet methods have found their way for the numerical solution of the resulting different kinds of equations. So this review paper intends to provide the great utility, accuracy and employability of Hermite wavelets to address situations of various areas of applied mathematics, physics, biology, optimal control systems, communication theory, queuing theory, medicine and many other scientific and engineering problems.
Keywords:
Hermite wavelets; Collocation points; Operational matrices; Function approximation
Full text article in PDF:
Copyright information:
Copyright © 2022 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0