Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method
A new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function 𝑓(𝑡) is continuous with (known) compact support. An adaptive iterative method and an adaptive stopping rule, which yield the convergenc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/898195 |
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| Summary: | A new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function 𝑓(𝑡) is continuous with (known) compact support. An adaptive iterative method and an
adaptive stopping rule, which yield the convergence of the approximate
solution to 𝑓(𝑡), are proposed in this paper. |
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| ISSN: | 0161-1712 1687-0425 |