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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2021
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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 |