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Extended Legendre Wavelet Operational Matrix of Integration

International Journal of Information Engineering and Applications
Vol.1 , No. 2, Publication Date: Apr. 10, 2018, Page: 71-75

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Authors

[1]	Xiaoyang Zheng, College of Science, Chongqing University of Technology, Chongqing, China.
[2]	Jiangping He, College of Science, Chongqing University of Technology, Chongqing, China.
[3]	Liqiong Qiu, College of Science, Chongqing University of Technology, Chongqing, China.

Abstract

This paper first presents the extended Legendre wavelet (ELW) defined on interval (-r, r) (r is a rational number). Second, the integral operator matrix is calculated by using the ELW. Finally, the ELW and operational matrix obtained are applied to solving a ordinal differential equation (ODE). The good results of this numerical experiment demonstrate that this method is valid and applicable.

Keywords

Legendre Wavelet, Extended Legendre Wavelet, Integral Operator Matrix

Reference

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