Comparison of the results obtained by Iman transform with Laplace transform
Many processes in the real world are characterised by principles which are defined in the form of expressions involving rates of change. Mathematically, rates are derivatives and expressions are equations so we have differential equations. Differential equations play an important role for modelling...
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| Format: | Article |
| Language: | English |
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Bursa Technical University
2024-12-01
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| Series: | Journal of Innovative Science and Engineering |
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| Online Access: | http://jise.btu.edu.tr/en/download/article-file/3989764 |
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| author | NIHAL OZDOGAN |
| author_facet | NIHAL OZDOGAN |
| author_sort | NIHAL OZDOGAN |
| collection | DOAJ |
| description | Many processes in the real world are characterised by principles which are defined in the form of expressions involving rates of change. Mathematically, rates are derivatives and expressions are equations so we have differential equations. Differential equations play an important role for modelling many problems in different scientific fields. Sometimes, the calculations to solve these equations can be very complex and ultimately frustrating. For this reason, many integral transform methods were proposed by researchers. However, integral transform methods can give consistent solutions to many complex problems and have many application areas such as physics, mechanics, engineering, astronomy. In this work, two integral transforms, Iman transform and the well-known Laplace transform were studied comparatively to facilitate the solution of linear ordinary differential equations with constant coefficients. Applications of these two transforms show that these integral transform methods are closely related to each other. |
| format | Article |
| id | doaj-art-867c5e33b72d4f1d9da7973f2ebb9088 |
| institution | Kabale University |
| issn | 2602-4217 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Bursa Technical University |
| record_format | Article |
| series | Journal of Innovative Science and Engineering |
| spelling | doaj-art-867c5e33b72d4f1d9da7973f2ebb90882025-01-24T19:18:45ZengBursa Technical UniversityJournal of Innovative Science and Engineering2602-42172024-12-018223324210.38088/jise.1497589Comparison of the results obtained by Iman transform with Laplace transformNIHAL OZDOGAN0https://orcid.org/0000-0002-7551-1636Bursa Technical UniversityMany processes in the real world are characterised by principles which are defined in the form of expressions involving rates of change. Mathematically, rates are derivatives and expressions are equations so we have differential equations. Differential equations play an important role for modelling many problems in different scientific fields. Sometimes, the calculations to solve these equations can be very complex and ultimately frustrating. For this reason, many integral transform methods were proposed by researchers. However, integral transform methods can give consistent solutions to many complex problems and have many application areas such as physics, mechanics, engineering, astronomy. In this work, two integral transforms, Iman transform and the well-known Laplace transform were studied comparatively to facilitate the solution of linear ordinary differential equations with constant coefficients. Applications of these two transforms show that these integral transform methods are closely related to each other.http://jise.btu.edu.tr/en/download/article-file/3989764iman transformlaplace transformintegral transformdifferential equations. |
| spellingShingle | NIHAL OZDOGAN Comparison of the results obtained by Iman transform with Laplace transform Journal of Innovative Science and Engineering iman transform laplace transform integral transform differential equations. |
| title | Comparison of the results obtained by Iman transform with Laplace transform |
| title_full | Comparison of the results obtained by Iman transform with Laplace transform |
| title_fullStr | Comparison of the results obtained by Iman transform with Laplace transform |
| title_full_unstemmed | Comparison of the results obtained by Iman transform with Laplace transform |
| title_short | Comparison of the results obtained by Iman transform with Laplace transform |
| title_sort | comparison of the results obtained by iman transform with laplace transform |
| topic | iman transform laplace transform integral transform differential equations. |
| url | http://jise.btu.edu.tr/en/download/article-file/3989764 |
| work_keys_str_mv | AT nihalozdogan comparisonoftheresultsobtainedbyimantransformwithlaplacetransform |