TY - JOUR ID - 3318 TI - Numerical inversion of Laplace transform via wavelet in ordinary differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - HSIAO, CHUN-HUI AD - No.101, Sec. 2, Jhongcheng Rd., Shihlin District, Taipei City 111, Taiwan, R.O.C. Y1 - 2014 PY - 2014 VL - 2 IS - 3 SP - 186 EP - 194 KW - Haar wavelet KW - Inverse Laplace transform KW - Operational matrix of integration KW - Haar product matrix DO - N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_3318.html L1 - https://cmde.tabrizu.ac.ir/article_3318_45b84a55dd6bdc7e3ffbda5bbc7be1c0.pdf ER -