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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my-usm-ep.525462022-05-20T02:01:23Z Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems 2020-05 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 http://eprints.usm.my/52546/ http://eprints.usm.my/52546/1/Pages%20from%20AL%20AHMAD%20KHALIL%20-%20TESIS.pdf application/pdf en public masters Universiti Sains Malaysia Pusat Pengajian Sains Matematik |
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Universiti Sains Malaysia |
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USM Institutional Repository |
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English |
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QA1 Mathematics (General) |
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QA1 Mathematics (General) Khalil, Al Ahmad Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems |
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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 |
format |
Thesis |
qualification_level |
Master's degree |
author |
Khalil, Al Ahmad |
author_facet |
Khalil, Al Ahmad |
author_sort |
Khalil, Al Ahmad |
title |
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_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_sort |
multistage approximate analytical solution of non-autonomous nonlinear ordinary differential systems |
granting_institution |
Universiti Sains Malaysia |
granting_department |
Pusat Pengajian Sains Matematik |
publishDate |
2020 |
url |
http://eprints.usm.my/52546/1/Pages%20from%20AL%20AHMAD%20KHALIL%20-%20TESIS.pdf |
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1747822189303824384 |