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 |
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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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| _version_ | 1832564425405497344 |
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| author | Sapto W. Indratno Alexander G. Ramm |
| author_facet | Sapto W. Indratno Alexander G. Ramm |
| author_sort | Sapto W. Indratno |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b41f32090ca0446597d57669c29ea0bc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b41f32090ca0446597d57669c29ea0bc2025-02-03T01:11:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/898195898195Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative MethodSapto W. Indratno0Alexander G. Ramm1Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USADepartment of Mathematics, Kansas State University, Manhattan, KS 66506-2602, USAA 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.http://dx.doi.org/10.1155/2009/898195 |
| spellingShingle | Sapto W. Indratno Alexander G. Ramm Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method International Journal of Mathematics and Mathematical Sciences |
| title | Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method |
| title_full | Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method |
| title_fullStr | Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method |
| title_full_unstemmed | Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method |
| title_short | Inversion of the Laplace Transform from the Real Axis Using an Adaptive Iterative Method |
| title_sort | inversion of the laplace transform from the real axis using an adaptive iterative method |
| url | http://dx.doi.org/10.1155/2009/898195 |
| work_keys_str_mv | AT saptowindratno inversionofthelaplacetransformfromtherealaxisusinganadaptiveiterativemethod AT alexandergramm inversionofthelaplacetransformfromtherealaxisusinganadaptiveiterativemethod |