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A numerical inversion of laplace transform and its application

✍ Scribed by N. Kitahara; D. Nagahara; H. Yano

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
545 KB
Volume
325
Category
Article
ISSN
0016-0032

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✦ Synopsis

This paper describes a new method for numerical inversion of the Laplace transform based on a conformal mapping of the Bromwich path onto a unit circle. The inversion integral along the unit circle in a complex plane, is obtained numerically using the trapezoidal rule. Some numerical results of the present inversion technique are presented to discuss its characteristics, and an error estimate is also proposed for this type of inversion integral. Furthermore, the method is applied to solve a one-dimensional heat conduction problem.

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