Exploring the Analytical Solutions to the Economical Model via Three Different Methods
In this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion (EShGEE) and extended G′/G-expansion methods ha...
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Format: | Article |
Language: | English |
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Wiley
2023-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2023/1416097 |
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author | M. Raheel Khalid K. Ali Asim Zafar Ahmet Bekir Omar Abu Arqub Marwan Abukhaled |
author_facet | M. Raheel Khalid K. Ali Asim Zafar Ahmet Bekir Omar Abu Arqub Marwan Abukhaled |
author_sort | M. Raheel |
collection | DOAJ |
description | In this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion (EShGEE) and extended G′/G-expansion methods have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular, and other kinds of solutions. These solutions are obtained and also verified by a Mathematica tool. Some of the gained results are explained by 2-D, 3-D, and contour plots. |
format | Article |
id | doaj-art-6728e8df6cc7489086b13e7a56027f8f |
institution | Kabale University |
issn | 2314-4785 |
language | English |
publishDate | 2023-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Mathematics |
spelling | doaj-art-6728e8df6cc7489086b13e7a56027f8f2025-02-03T06:42:48ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/1416097Exploring the Analytical Solutions to the Economical Model via Three Different MethodsM. Raheel0Khalid K. Ali1Asim Zafar2Ahmet Bekir3Omar Abu Arqub4Marwan Abukhaled5Department of Mathematics and StatisticsMathematics DepartmentDepartment of MathematicsNeighbourhood of AkcaglanDepartment of MathematicsDepartment of Mathematics and StatisticsIn this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion (EShGEE) and extended G′/G-expansion methods have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular, and other kinds of solutions. These solutions are obtained and also verified by a Mathematica tool. Some of the gained results are explained by 2-D, 3-D, and contour plots.http://dx.doi.org/10.1155/2023/1416097 |
spellingShingle | M. Raheel Khalid K. Ali Asim Zafar Ahmet Bekir Omar Abu Arqub Marwan Abukhaled Exploring the Analytical Solutions to the Economical Model via Three Different Methods Journal of Mathematics |
title | Exploring the Analytical Solutions to the Economical Model via Three Different Methods |
title_full | Exploring the Analytical Solutions to the Economical Model via Three Different Methods |
title_fullStr | Exploring the Analytical Solutions to the Economical Model via Three Different Methods |
title_full_unstemmed | Exploring the Analytical Solutions to the Economical Model via Three Different Methods |
title_short | Exploring the Analytical Solutions to the Economical Model via Three Different Methods |
title_sort | exploring the analytical solutions to the economical model via three different methods |
url | http://dx.doi.org/10.1155/2023/1416097 |
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