Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim

Che Hashim, Che Maisarah Amanina (2017) Three dimensional homogenous wave equation in rectangular coordinates / Che Maisarah Amanina Che Hashim. Degree thesis, Universiti Teknologi MARA.

Abstract

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.

Metadata

Item Type:	Thesis (Degree)
Creators:	Creators Email / ID Num. Che Hashim, Che Maisarah Amanina 2014443064
Contributors:	Contribution Name Email / ID Num. Thesis advisor Ramli, Rahim UNSPECIFIED
Subjects:	Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas Q Science > QA Mathematics > Analysis > Difference equations. Functional equations. Delay differential equations. Integral equations Q Science > QC Physics > Mathematical physics > Finite element method
Divisions:	Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme:	Bachelor of Science (Hons) Computational Mathematics
Keywords:	Stewart ; Ocean Wave ; Sound Wave ; Light Wave
Date:	July 2017
URI:	https://ir.uitm.edu.my/id/eprint/39576