# Numerical inversion of Laplace transform via wavelet in ordinary differential equations

Document Type : Research Paper

Author

No.101, Sec. 2, Jhongcheng Rd., Shihlin District, Taipei City 111, Taiwan, R.O.C.

Abstract

This paper presents a rational Haar wavelet operational method for solving the inverse Laplace transform problem and improves inherent errors from irrational Haar wavelet. The approach is thus straightforward, rather simple and suitable for computer programming. We define that $P$ is the operational matrix for integration of the orthogonal Haar wavelet. Simultaneously, simplify the formulaes of listing table to a minimum expression and obtain the optimal operation speed. The local property of Haar wavelet is fully applied to shorten the calculation process in the task.

Keywords

### History

• Receive Date: 29 January 2015
• Revise Date: 09 March 2015
• Accept Date: 10 March 2015