Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method.
In this paper, the combined Laplace transform-Adomian decomposition method is presented to solve systems of n" order differential equations. Theoretical considerations are being discussed. The Laplace transform and Adomian decomposition methods are combined and an n" iterative formula is g...
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| Format: | Thesis |
| Language: | en_US |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/1826 |
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| author | Byamukama, Justus |
| author_facet | Byamukama, Justus |
| author_sort | Byamukama, Justus |
| collection | KAB-DR |
| description | In this paper, the combined Laplace transform-Adomian decomposition method is presented to solve systems of n" order differential equations. Theoretical considerations are being discussed. The Laplace transform and Adomian decomposition methods are combined and an n" iterative formula is generated. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results obtained are in good agreement v, i th the exact solution as indicated by a small percentage error. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-1826 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-18262024-08-01T00:01:43Z Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. Byamukama, Justus Solutions Systems Order Ordinary Differential Equations Combined Laplace Transform Adomian Decomposition Method In this paper, the combined Laplace transform-Adomian decomposition method is presented to solve systems of n" order differential equations. Theoretical considerations are being discussed. The Laplace transform and Adomian decomposition methods are combined and an n" iterative formula is generated. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results obtained are in good agreement v, i th the exact solution as indicated by a small percentage error. 2024-01-25T08:29:14Z 2024-01-25T08:29:14Z 2020 Thesis Byamukama, Justus (2020). Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1826 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Solutions Systems Order Ordinary Differential Equations Combined Laplace Transform Adomian Decomposition Method Byamukama, Justus Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. |
| title | Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. |
| title_full | Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. |
| title_fullStr | Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. |
| title_full_unstemmed | Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. |
| title_short | Solutions of Systems of " Order Ordinary Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method. |
| title_sort | solutions of systems of order ordinary differential equations using the combined laplace transform adomian decomposition method |
| topic | Solutions Systems Order Ordinary Differential Equations Combined Laplace Transform Adomian Decomposition Method |
| url | http://hdl.handle.net/20.500.12493/1826 |
| work_keys_str_mv | AT byamukamajustus solutionsofsystemsoforderordinarydifferentialequationsusingthecombinedlaplacetransformadomiandecompositionmethod |