Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan

Wave equation is the propagation of oscillations at a fixed speed in some quantity and are characterized by wavelength, frequency, and the speed at which they move and it can be found in many forms. This project deals with a three-dimensional homogenous wave equation in rectangular coordinates with...

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Main Authors: Azamuddin, Ain Aqiela, Mazlan, Nor Ameerah
Format: Thesis
Language:English
Published: 2019
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/40104/1/40104.pdf
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spelling my-uitm-ir.401042021-01-05T06:31:12Z Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan 2019-07 Azamuddin, Ain Aqiela Mazlan, Nor Ameerah Differential equations. Runge-Kutta formulas Difference equations. Functional equations. Delay differential equations. Integral equations Finite element method Wave equation is the propagation of oscillations at a fixed speed in some quantity and are characterized by wavelength, frequency, and the speed at which they move and it can be found in many forms. This project deals with a three-dimensional homogenous wave equation in rectangular coordinates with different types of boundary conditions. Separation of variables method was used to solve the initial and boundary value problem on derivation of the solution for the three-dimensional homogenous wave equation. Then, Fourier series were applied to determine the coefficients in the particular solution. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/40104/ https://ir.uitm.edu.my/id/eprint/40104/1/40104.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Embong, Muhd Fauzi
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Embong, Muhd Fauzi
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
Azamuddin, Ain Aqiela
Mazlan, Nor Ameerah
Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan
description Wave equation is the propagation of oscillations at a fixed speed in some quantity and are characterized by wavelength, frequency, and the speed at which they move and it can be found in many forms. This project deals with a three-dimensional homogenous wave equation in rectangular coordinates with different types of boundary conditions. Separation of variables method was used to solve the initial and boundary value problem on derivation of the solution for the three-dimensional homogenous wave equation. Then, Fourier series were applied to determine the coefficients in the particular solution.
format Thesis
qualification_level Bachelor degree
author Azamuddin, Ain Aqiela
Mazlan, Nor Ameerah
author_facet Azamuddin, Ain Aqiela
Mazlan, Nor Ameerah
author_sort Azamuddin, Ain Aqiela
title Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan
title_short Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan
title_full Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan
title_fullStr Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan
title_full_unstemmed Derivation of the three-dimensional wave equation solution by separation of variable method / Ain Aqiela Azamuddin and Nor Ameerah Mazlan
title_sort derivation of the three-dimensional wave equation solution by separation of variable method / ain aqiela azamuddin and nor ameerah mazlan
granting_institution Universiti Teknologi MARA
granting_department Faculty of Computer and Mathematical Sciences
publishDate 2019
url https://ir.uitm.edu.my/id/eprint/40104/1/40104.pdf
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