A Semi-Analytical Solution of Inverse Laplace Transform
We propose a general method for constructing the semi-analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993. Bearing their credits, this method inherits all the merits such as analytical expression, avoiding free...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9129727 |
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| _version_ | 1832552978795462656 |
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| author | Shuang Luo Fu-yao Zhao |
| author_facet | Shuang Luo Fu-yao Zhao |
| author_sort | Shuang Luo |
| collection | DOAJ |
| description | We propose a general method for constructing the semi-analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993. Bearing their credits, this method inherits all the merits such as analytical expression, avoiding free parameters, simple calculation with high accuracy, and the availability of error estimation. Illustrating calculations indicate the potential applications to the vast problems in the fields of mathematical physics as well as engineering and medicine. |
| format | Article |
| id | doaj-art-5440a4f58abd43e093ee6e25edb0fcc2 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5440a4f58abd43e093ee6e25edb0fcc22025-02-03T05:57:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9129727A Semi-Analytical Solution of Inverse Laplace TransformShuang Luo0Fu-yao Zhao1China Xiongan GroupDepartment of Biomedical EngineeringWe propose a general method for constructing the semi-analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993. Bearing their credits, this method inherits all the merits such as analytical expression, avoiding free parameters, simple calculation with high accuracy, and the availability of error estimation. Illustrating calculations indicate the potential applications to the vast problems in the fields of mathematical physics as well as engineering and medicine.http://dx.doi.org/10.1155/2022/9129727 |
| spellingShingle | Shuang Luo Fu-yao Zhao A Semi-Analytical Solution of Inverse Laplace Transform Journal of Mathematics |
| title | A Semi-Analytical Solution of Inverse Laplace Transform |
| title_full | A Semi-Analytical Solution of Inverse Laplace Transform |
| title_fullStr | A Semi-Analytical Solution of Inverse Laplace Transform |
| title_full_unstemmed | A Semi-Analytical Solution of Inverse Laplace Transform |
| title_short | A Semi-Analytical Solution of Inverse Laplace Transform |
| title_sort | semi analytical solution of inverse laplace transform |
| url | http://dx.doi.org/10.1155/2022/9129727 |
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