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- W3136014351 abstract "Many fields of science and engineering have used wavelet functions. They are established from expansion of a single mother wavelet function. Boubaker wavelet functions are presented in this paper based on the important properties of Boubaker polynomials. The research goal of this article is to drive a Boubaker wavelets operation matrix of integration in general formulas. Then an approximate solution method for solving a singular initial value problem is presented using Boubaker wavelets along the obtained operational matrix of integration. The importance of this method is that it converts a singular initial value problem in order to solve algebraic examples as a system. The process is based on reducing by means of integration the original problem into integral equations using a Boubaker wavelets operation matrix of integration to predict the integral equation. Illustrative experiments are included. In addition, computational results obtained by a Boubaker wavelets operation matrix of integration are compared with the exact solutions and other existing methods." @default.
- W3136014351 created "2021-03-29" @default.
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- W3136014351 date "2020-01-01" @default.
- W3136014351 modified "2023-10-16" @default.
- W3136014351 title "A New Boubaker Wavelets Operational Matrix of Integration" @default.
- W3136014351 doi "https://doi.org/10.35741/issn.0258-2724.55.2.3" @default.
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