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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Main Author: Khalil, Al Ahmad
Format: Thesis
Language:English
Published: 2020
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Online Access:http://eprints.usm.my/52546/1/Pages%20from%20AL%20AHMAD%20KHALIL%20-%20TESIS.pdf
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spelling 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
institution Universiti Sains Malaysia
collection USM Institutional Repository
language English
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Khalil, Al Ahmad
Multistage Approximate Analytical Solution Of Non-Autonomous Nonlinear Ordinary Differential Systems
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
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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