University of Tabriz Computational Methods for Differential Equations 2345-3982 2 3 2014 07 01 Numerical inversion of Laplace transform via wavelet in ordinary differential equations 186 194 3318 EN CHUN-HUI HSIAO No.101, Sec. 2, Jhongcheng Rd., Shihlin District, Taipei City 111, Taiwan, R.O.C. Journal Article 2015 01 29 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. https://cmde.tabrizu.ac.ir/article_3318_45b84a55dd6bdc7e3ffbda5bbc7be1c0.pdf