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

Malik, Nadia (2021) Comparison between the Adomian Decomposition Method (ADM) and fourth order Runge Kutta method to solve Stefan problem / Nadia Malik. Degree thesis, Universiti Teknologi MARA, Terengganu.

Abstract

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

Metadata

Item Type:	Thesis (Degree)
Creators:	Creators Email / ID Num. Malik, Nadia 2017696404
Contributors:	Contribution Name Email / ID Num. Thesis advisor Salahudin, Nur Atikah UNSPECIFIED
Subjects:	Q Science > QA Mathematics > Equations Q Science > QA Mathematics > Analysis Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems Q Science > QA Mathematics > Instruments and machines Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science
Divisions:	Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme:	Bachelor of Science (Hons) Computational Mathematics
Keywords:	Stefan Problem ; Adomian Decomposition Method ; Fourth-order Runge-Kutta (RK4)
Date:	January 2021
URI:	https://ir.uitm.edu.my/id/eprint/78007