Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim
Wave equation is widely used in physics to describe small vibrations of a tightly stretched flexible string for one dimensional case. Stewart (2012) stated that the wave equations are also used to represent some physical problems in physics such as the motion of a waveform, which are an ocean wave,...
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my-uitm-ir.395762020-12-24T05:47:00Z Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim 2017-07 Che Hashim, Che Maisarah Amanina Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Finite element method Wave equation is widely used in physics to describe small vibrations of a tightly stretched flexible string for one dimensional case. Stewart (2012) stated that the wave equations are also used to represent some physical problems in physics such as the motion of a waveform, which are an ocean wave, a sound wave, or a light wave. This project will derive the solutions of the vibrating object for obtaining the vertical displacement of a wave in three dimensional wave equation based on rectangular coordinates. In addition, the Fourier series expansion is used to find a solution. The unique solution of homogenous wave equation can be obtained by using the method separation of variables. 2017-07 Thesis https://ir.uitm.edu.my/id/eprint/39576/ https://ir.uitm.edu.my/id/eprint/39576/1/39576.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Ramli, Rahim |
| institution |
Universiti Teknologi MARA |
| collection |
UiTM Institutional Repository |
| language |
English |
| advisor |
Ramli, Rahim |
| 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 Che Hashim, Che Maisarah Amanina Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim |
| description |
Wave equation is widely used in physics to describe small vibrations of a tightly stretched flexible string for one dimensional case. Stewart (2012) stated that the wave equations are also used to represent some physical problems in physics such as the motion of a waveform, which are an ocean wave, a sound wave, or a light wave. This project will derive the solutions of the vibrating object for obtaining the vertical displacement of a wave in three dimensional wave equation based on rectangular coordinates. In addition, the Fourier series expansion is used to find a solution. The unique solution of homogenous wave equation can be obtained by using the method separation of variables. |
| format |
Thesis |
| qualification_level |
Bachelor degree |
| author |
Che Hashim, Che Maisarah Amanina |
| author_facet |
Che Hashim, Che Maisarah Amanina |
| author_sort |
Che Hashim, Che Maisarah Amanina |
| title |
Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim |
| title_short |
Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim |
| title_full |
Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim |
| title_fullStr |
Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim |
| title_full_unstemmed |
Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim |
| title_sort |
three dimensional homogenous wave equation in rectangular coordinates / che maisarah amanina che hashim |
| granting_institution |
Universiti Teknologi MARA |
| granting_department |
Faculty of Computer and Mathematical Sciences |
| publishDate |
2017 |
| url |
https://ir.uitm.edu.my/id/eprint/39576/1/39576.pdf |
| _version_ |
1783734519937892352 |