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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
Differential equations. Runge-Kutta formulas
Analytical methods used in the solution of physical problems
Difference equations. Functional equations. Delay differential equations. Integral equations
Online Access:https://ir.uitm.edu.my/id/eprint/78008/1/78008.pdf
https://ir.uitm.edu.my/id/eprint/78008/
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spelling my.uitm.ir.780082023-05-22T04:52:44Z https://ir.uitm.edu.my/id/eprint/78008/ 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 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 NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/78008/1/78008.pdf 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) Degree thesis, thesis, Universiti Teknologi MARA, Terengganu. <http://terminalib.uitm.edu.my/78008.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
Differential equations. Runge-Kutta formulas
Analytical methods used in the solution of physical problems
Difference equations. Functional equations. Delay differential equations. Integral equations
spellingShingle 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
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
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
publishDate 2021
url https://ir.uitm.edu.my/id/eprint/78008/1/78008.pdf
https://ir.uitm.edu.my/id/eprint/78008/
_version_ 1768011682766913536
score 13.209306

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