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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Main Author: Che Hashim, Che Maisarah Amanina
Format: Thesis
Language:English
Published: 2017
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/39576/1/39576.pdf
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spelling 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