Applications of the Laplace variational iteration method to fractional heat like equations
The importance of differential equations of integer order and fractional order can be seen in many areas of engineering and applied sciences. The present work involves fractional order heat equations that arise in numerous applications of engineering and aims to find series solutions by the Laplace...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123000530 |
| _version_ | 1797390345248440320 |
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| author | Alok Bhargava Deepika Jain D.L. Suthar |
| author_facet | Alok Bhargava Deepika Jain D.L. Suthar |
| author_sort | Alok Bhargava |
| collection | DOAJ |
| description | The importance of differential equations of integer order and fractional order can be seen in many areas of engineering and applied sciences. The present work involves fractional order heat equations that arise in numerous applications of engineering and aims to find series solutions by the Laplace variational iteration method (LVIM). The method combines the Laplace transform and the variational iteration method. To show the efficiency and validity of LVIM, we have exemplarily considered 1-D, 2-D, and 3-D fractional heat equations and solve them by LVIM. Exact solutions are gained in expressions of the Mittag-Leffler function. The results are also explored through graphs and charts. |
| first_indexed | 2024-03-08T23:10:22Z |
| format | Article |
| id | doaj.art-662d245cd2374aafa24abb7212580b62 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:22Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-662d245cd2374aafa24abb7212580b622023-12-15T07:26:43ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100540Applications of the Laplace variational iteration method to fractional heat like equationsAlok Bhargava0Deepika Jain1D.L. Suthar2Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, Rajasthan, IndiaDepartment of Mathematics, Swami Keshvanand Institute of Technology, Management & Gramothan, Jaipur, Rajasthan, IndiaDepartment of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia, Ethiopia; Corresponding author.The importance of differential equations of integer order and fractional order can be seen in many areas of engineering and applied sciences. The present work involves fractional order heat equations that arise in numerous applications of engineering and aims to find series solutions by the Laplace variational iteration method (LVIM). The method combines the Laplace transform and the variational iteration method. To show the efficiency and validity of LVIM, we have exemplarily considered 1-D, 2-D, and 3-D fractional heat equations and solve them by LVIM. Exact solutions are gained in expressions of the Mittag-Leffler function. The results are also explored through graphs and charts.http://www.sciencedirect.com/science/article/pii/S2666818123000530Fractional differential equationsLaplace transformVariational iteration methodCaputo derivative |
| spellingShingle | Alok Bhargava Deepika Jain D.L. Suthar Applications of the Laplace variational iteration method to fractional heat like equations Partial Differential Equations in Applied Mathematics Fractional differential equations Laplace transform Variational iteration method Caputo derivative |
| title | Applications of the Laplace variational iteration method to fractional heat like equations |
| title_full | Applications of the Laplace variational iteration method to fractional heat like equations |
| title_fullStr | Applications of the Laplace variational iteration method to fractional heat like equations |
| title_full_unstemmed | Applications of the Laplace variational iteration method to fractional heat like equations |
| title_short | Applications of the Laplace variational iteration method to fractional heat like equations |
| title_sort | applications of the laplace variational iteration method to fractional heat like equations |
| topic | Fractional differential equations Laplace transform Variational iteration method Caputo derivative |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123000530 |
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