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Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri

In this research, a reliable algorithm is presented to develop an approximate solution of second order singular perturbation in which the highest order derivative is multiply with the small parameter, epsilon. In this method, the given problem and its boundary are transformed based on the table of t...

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Main Author: Mohamad Zamri, Nurzawani
Format: Student Project
Language:English
Published: 2017
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110268/1/110268.pdf
https://ir.uitm.edu.my/id/eprint/110268/
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spelling my.uitm.ir.1102682025-02-13T23:51:00Z https://ir.uitm.edu.my/id/eprint/110268/ Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri Mohamad Zamri, Nurzawani Study and teaching Equations Analysis In this research, a reliable algorithm is presented to develop an approximate solution of second order singular perturbation in which the highest order derivative is multiply with the small parameter, epsilon. In this method, the given problem and its boundary are transformed based on the table of the fundamental theorem of DTM. Then, from the transformed equation, the recurrence relation will be obtained and the equation with this problem can be solved using DTM. The accuracy and efficiency of the method are proved by some illustration of examples and by comparing the results with the exact solution. The obtained result is showing that DTM method is easy and convenient and efficient to use. 2017 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110268/1/110268.pdf Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri. (2017) [Student Project] <http://terminalib.uitm.edu.my/110268.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Mohamad Zamri, Nurzawani
Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri
description In this research, a reliable algorithm is presented to develop an approximate solution of second order singular perturbation in which the highest order derivative is multiply with the small parameter, epsilon. In this method, the given problem and its boundary are transformed based on the table of the fundamental theorem of DTM. Then, from the transformed equation, the recurrence relation will be obtained and the equation with this problem can be solved using DTM. The accuracy and efficiency of the method are proved by some illustration of examples and by comparing the results with the exact solution. The obtained result is showing that DTM method is easy and convenient and efficient to use.
format Student Project
author Mohamad Zamri, Nurzawani
author_facet Mohamad Zamri, Nurzawani
author_sort Mohamad Zamri, Nurzawani
title Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri
title_short Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri
title_full Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri
title_fullStr Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri
title_full_unstemmed Technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using Differential Transform Method (DTM) / Nurzawani Mohamad Zamri
title_sort technical report: approximate solution of linear homogeneous singular perturbation problem of second order ordinary differential equation using differential transform method (dtm) / nurzawani mohamad zamri
publishDate 2017
url https://ir.uitm.edu.my/id/eprint/110268/1/110268.pdf
https://ir.uitm.edu.my/id/eprint/110268/
_version_ 1825165170861670400
score 13.239859

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