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
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Online Access:https://ir.uitm.edu.my/id/eprint/78007/1/78007.pdf
https://ir.uitm.edu.my/id/eprint/78007/
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spelling my.uitm.ir.780072023-05-22T04:59:49Z https://ir.uitm.edu.my/id/eprint/78007/ Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik 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 NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/78007/1/78007.pdf Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik. (2021) Degree thesis, thesis, Universiti Teknologi MARA, Terengganu. <http://terminalib.uitm.edu.my/78007.pdf>
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 Equations
Analysis
Analytical methods used in the solution of physical problems
Instruments and machines
Electronic Computers. Computer Science
spellingShingle Equations
Analysis
Analytical methods used in the solution of physical problems
Instruments and machines
Electronic Computers. Computer Science
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
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
publishDate 2021
url https://ir.uitm.edu.my/id/eprint/78007/1/78007.pdf
https://ir.uitm.edu.my/id/eprint/78007/
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