Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems
Differential equations are an important tool for modeling many problems in sci- ence, chemistry, physics and economics. Differential equations system can be divided into two kinds: autonomous and non-autonomous system. The objective of this re- search is to develop a technique for solving non-autono...
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| Format: | Thesis |
| Language: | English |
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2020
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| Online Access: | http://eprints.usm.my/52546/1/Pages%20from%20AL%20AHMAD%20KHALIL%20-%20TESIS.pdf |
| _version_ | 1825906706830327808 |
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| author | Khalil, Al Ahmad |
| author_facet | Khalil, Al Ahmad |
| author_sort | Khalil, Al Ahmad |
| collection | USM |
| description | Differential equations are an important tool for modeling many problems in sci- ence, chemistry, physics and economics. Differential equations system can be divided into two kinds: autonomous and non-autonomous system. The objective of this re- search is to develop a technique for solving non-autonomous nonlinear differential sys- tems which is based on the standard Differential Transform Method (DTM) and Mul- tistage Differential Transform method (MsDTM). A comparative analysis between the solutions that were obtained by the proposed methods and Runge-Kutta method will also be discussed |
| first_indexed | 2024-03-06T15:53:33Z |
| format | Thesis |
| id | usm.eprints-52546 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:53:33Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | usm.eprints-525462022-05-20T02:01:23Z http://eprints.usm.my/52546/ Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems Khalil, Al Ahmad QA1 Mathematics (General) Differential equations are an important tool for modeling many problems in sci- ence, chemistry, physics and economics. Differential equations system can be divided into two kinds: autonomous and non-autonomous system. The objective of this re- search is to develop a technique for solving non-autonomous nonlinear differential sys- tems which is based on the standard Differential Transform Method (DTM) and Mul- tistage Differential Transform method (MsDTM). A comparative analysis between the solutions that were obtained by the proposed methods and Runge-Kutta method will also be discussed 2020-05 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/52546/1/Pages%20from%20AL%20AHMAD%20KHALIL%20-%20TESIS.pdf Khalil, Al Ahmad (2020) Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems. Masters thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1 Mathematics (General) Khalil, Al Ahmad Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
| title | Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
| title_full | Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
| title_fullStr | Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
| title_full_unstemmed | Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
| title_short | Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
| title_sort | multistage approximate analytical solution of non autonomous nonlinear ordinary differential systems |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/52546/1/Pages%20from%20AL%20AHMAD%20KHALIL%20-%20TESIS.pdf |
| work_keys_str_mv | AT khalilalahmad multistageapproximateanalyticalsolutionofnonautonomousnonlinearordinarydifferentialsystems |