Analysis of Random Difference Equations Using the Differential Transformation Method
The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the given examples and investigate the behaviour of the approximate analytical solu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/2424880 |
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| _version_ | 1832543660321800192 |
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| author | Şeyma Şişman Mehmet Merdan |
| author_facet | Şeyma Şişman Mehmet Merdan |
| author_sort | Şeyma Şişman |
| collection | DOAJ |
| description | The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the given examples and investigate the behaviour of the approximate analytical solutions. The expected value, variance, coefficient of variation, and confidence intervals of the solutions of random difference equations obtained from discrete probability distributions such as uniform, geometric, Poisson, and binomial distributions will be calculated. Maple and MATLAB software packages are used to plot the solution graphs and also to interpret the solution behaviour. |
| format | Article |
| id | doaj-art-ad62a2c1cea64c8abbdc744af37cd912 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ad62a2c1cea64c8abbdc744af37cd9122025-02-03T11:37:23ZengWileyJournal of Applied Mathematics1687-00422024-01-01202410.1155/2024/2424880Analysis of Random Difference Equations Using the Differential Transformation MethodŞeyma Şişman0Mehmet Merdan1Department of Mathematical EngineeringDepartment of Mathematical EngineeringThe differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the given examples and investigate the behaviour of the approximate analytical solutions. The expected value, variance, coefficient of variation, and confidence intervals of the solutions of random difference equations obtained from discrete probability distributions such as uniform, geometric, Poisson, and binomial distributions will be calculated. Maple and MATLAB software packages are used to plot the solution graphs and also to interpret the solution behaviour.http://dx.doi.org/10.1155/2024/2424880 |
| spellingShingle | Şeyma Şişman Mehmet Merdan Analysis of Random Difference Equations Using the Differential Transformation Method Journal of Applied Mathematics |
| title | Analysis of Random Difference Equations Using the Differential Transformation Method |
| title_full | Analysis of Random Difference Equations Using the Differential Transformation Method |
| title_fullStr | Analysis of Random Difference Equations Using the Differential Transformation Method |
| title_full_unstemmed | Analysis of Random Difference Equations Using the Differential Transformation Method |
| title_short | Analysis of Random Difference Equations Using the Differential Transformation Method |
| title_sort | analysis of random difference equations using the differential transformation method |
| url | http://dx.doi.org/10.1155/2024/2424880 |
| work_keys_str_mv | AT seymasisman analysisofrandomdifferenceequationsusingthedifferentialtransformationmethod AT mehmetmerdan analysisofrandomdifferenceequationsusingthedifferentialtransformationmethod |