Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik

One phase Stefan problem is presented by the solution. A Stefan's task is the first approximated with a system of ordinary differential equations. A comparison between the Adomian Decomposition Method (ADM) and the fourth-order Runge-Kutta (RK4) method for solving this system is presented. The...

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Main Author:	Malik, Nadia
Format:	Thesis
Language:	English
Published:	2021
Subjects:	Equations Analysis Analytical methods used in the solution of physical problems Instruments and machines
Online Access:	https://ir.uitm.edu.my/id/eprint/78007/1/78007.pdf
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id	my-uitm-ir.78007
record_format	uketd_dc
spelling	my-uitm-ir.780072023-05-22T04:59:49Z Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik 2021-01 Malik, Nadia Equations Analysis Analytical methods used in the solution of physical problems Instruments and machines Electronic Computers. Computer Science One phase Stefan problem is presented by the solution. A Stefan's task is the first approximated with a system of ordinary differential equations. A comparison between the Adomian Decomposition Method (ADM) and the fourth-order Runge-Kutta (RK4) method for solving this system is presented. The results obtained that are presented in a few terms are required an approximate found to accurate and efficient. The validity of the approach is verified by comparing the results obtained with the analytical solution. The comparative results analysis of these methods is based on the number of errors 2021-01 Thesis https://ir.uitm.edu.my/id/eprint/78007/ https://ir.uitm.edu.my/id/eprint/78007/1/78007.pdf text en public degree Universiti Teknologi MARA, Terengganu Faculty of Computer and Mathematical Sciences Salahudin, Nur Atikah
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Salahudin, Nur Atikah
topic	Equations Analysis Analytical methods used in the solution of physical problems Instruments and machines Equations
spellingShingle	Equations Analysis Analytical methods used in the solution of physical problems Instruments and machines Equations Malik, Nadia Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik
description	One phase Stefan problem is presented by the solution. A Stefan's task is the first approximated with a system of ordinary differential equations. A comparison between the Adomian Decomposition Method (ADM) and the fourth-order Runge-Kutta (RK4) method for solving this system is presented. The results obtained that are presented in a few terms are required an approximate found to accurate and efficient. The validity of the approach is verified by comparing the results obtained with the analytical solution. The comparative results analysis of these methods is based on the number of errors
format	Thesis
qualification_level	Bachelor degree
author	Malik, Nadia
author_facet	Malik, Nadia
author_sort	Malik, Nadia
title	Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik
title_short	Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik
title_full	Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik
title_fullStr	Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik
title_full_unstemmed	Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik
title_sort	comparison between the adomian decomposition method (adm) and fourth order runge kutta method to solve stefan problem / nadia malik
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2021
url	https://ir.uitm.edu.my/id/eprint/78007/1/78007.pdf
_version_	1783736195510960128

Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik

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