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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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 |