Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan

Hence, in this research, Heun’s Third Order method, Ralston’s Third Order method, Strong Stability Preserving Runge-Kutta Third Order (SSPRK3) method, Runge-Kutta Third Order (RK3) method are the four numerical methods that were compared to solve numerically first order ordinary differential equatio...

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Main Author:	Mazlan, Muhammad Luqmanul Haqeem
Format:	Thesis
Language:	English
Published:	2021
Subjects:	Equations Analysis Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/78008/1/78008.pdf
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id	my-uitm-ir.78008
record_format	uketd_dc
spelling	my-uitm-ir.780082023-05-22T04:52:44Z Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan 2021 Mazlan, Muhammad Luqmanul Haqeem Equations Analysis Differential equations. Runge-Kutta formulas Analytical methods used in the solution of physical problems Difference equations. Functional equations. Delay differential equations. Integral equations Hence, in this research, Heun’s Third Order method, Ralston’s Third Order method, Strong Stability Preserving Runge-Kutta Third Order (SSPRK3) method, Runge-Kutta Third Order (RK3) method are the four numerical methods that were compared to solve numerically first order ordinary differential equation (ODE) with initial value problem (IVP). Exact ODE, linear ODE, Bernoulli’s ODE, substitution ODE are the four types of first order ODE that will have a test function with IVP. While the exact solution for every test function were solved analytically. 2021 Thesis https://ir.uitm.edu.my/id/eprint/78008/ https://ir.uitm.edu.my/id/eprint/78008/1/78008.pdf text en public degree Universiti Teknologi MARA, Terengganu Faculty of Computer and Mathematical Sciences Razali, Noor Khairiah
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Razali, Noor Khairiah
topic	Equations Analysis Equations Analytical methods used in the solution of physical problems Equations
spellingShingle	Equations Analysis Equations Analytical methods used in the solution of physical problems Equations Mazlan, Muhammad Luqmanul Haqeem Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan
description	Hence, in this research, Heun’s Third Order method, Ralston’s Third Order method, Strong Stability Preserving Runge-Kutta Third Order (SSPRK3) method, Runge-Kutta Third Order (RK3) method are the four numerical methods that were compared to solve numerically first order ordinary differential equation (ODE) with initial value problem (IVP). Exact ODE, linear ODE, Bernoulli’s ODE, substitution ODE are the four types of first order ODE that will have a test function with IVP. While the exact solution for every test function were solved analytically.
format	Thesis
qualification_level	Bachelor degree
author	Mazlan, Muhammad Luqmanul Haqeem
author_facet	Mazlan, Muhammad Luqmanul Haqeem
author_sort	Mazlan, Muhammad Luqmanul Haqeem
title	Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan
title_short	Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan
title_full	Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan
title_fullStr	Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan
title_full_unstemmed	Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan
title_sort	comparison of third order explicit runge-kutta methods (heun’s, ralston’s, ssprk3, and rk3 method) in solving the ode with ivp / muhammad luqmanul haqeem mazlan
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2021
url	https://ir.uitm.edu.my/id/eprint/78008/1/78008.pdf
_version_	1783736195803512832

Comparison of third order explicit Runge-Kutta methods (Heun’s, Ralston’s, SSPRK3, And RK3 Method) in solving the ODE with IVP / Muhammad Luqmanul Haqeem Mazlan

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