Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri
Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, B...
Saved in:
| Main Authors: | , |
|---|---|
| 格式: | Thesis |
| 語言: | English |
| 出版: |
2019
|
| 主題: | |
| 在線閱讀: | https://ir.uitm.edu.my/id/eprint/39274/1/39274.pdf |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| id |
my-uitm-ir.39274 |
|---|---|
| record_format |
uketd_dc |
| spelling |
my-uitm-ir.392742020-12-15T05:38:16Z Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri 2019-07 Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Finite element method Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, Butcher - 3 and Luther), RK 7 and RK 8 are used to solve different ordinary differential equation problems with different step size. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/39274/ https://ir.uitm.edu.my/id/eprint/39274/1/39274.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Mohd Ali, Mohd Rivaie |
| institution |
Universiti Teknologi MARA |
| collection |
UiTM Institutional Repository |
| language |
English |
| advisor |
Mohd Ali, Mohd Rivaie |
| topic |
Differential equations Runge-Kutta formulas Differential equations Runge-Kutta formulas Finite element method |
| spellingShingle |
Differential equations Runge-Kutta formulas Differential equations Runge-Kutta formulas Finite element method Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri |
| description |
Runge - Kutta method can be used to solve differential equation problem in the form of numerical method. Researchers have come out with many versions of Runge — Kutta method to increase its accuracy and efficiency. In this study, higher order Runge - Kutta method of RK 6 (Butcher - 1, Butcher - 2, Butcher - 3 and Luther), RK 7 and RK 8 are used to solve different ordinary differential equation problems with different step size. The numerical results are compared with theoretical solution in order to obtain accuracy and to determine the best method. |
| format |
Thesis |
| qualification_level |
Bachelor degree |
| author |
Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah |
| author_facet |
Mohamad Taufik, Nur Ardini Syed Basri, Sharifah Hazirah |
| author_sort |
Mohamad Taufik, Nur Ardini |
| title |
Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri |
| title_short |
Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri |
| title_full |
Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri |
| title_fullStr |
Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri |
| title_full_unstemmed |
Solving first order ordinary differential equation using higher order Runge - Kutta Method / Nur Ardini Mohamad Taufik & Sharifah Hazirah Syed Basri |
| title_sort |
solving first order ordinary differential equation using higher order runge - kutta method / nur ardini mohamad taufik & sharifah hazirah syed basri |
| granting_institution |
Universiti Teknologi MARA |
| granting_department |
Faculty of Computer and Mathematical Sciences |
| publishDate |
2019 |
| url |
https://ir.uitm.edu.my/id/eprint/39274/1/39274.pdf |
| _version_ |
1783734500074717184 |