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Numerical inversion of Laplace transform via wavelet in ordinary differential equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 2، شماره 3، مهر 2014، صفحه 186-194 اصل مقاله (314.99 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| CHUN-HUI HSIAO* | ||
| No.101, Sec. 2, Jhongcheng Rd., Shihlin District, Taipei City 111, Taiwan, R.O.C. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Haar wavelet؛ Inverse Laplace transform؛ Operational matrix of integration؛ Haar product matrix | ||
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