Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin

In this project, we start our study of Laplace’s equation, which represents the steady state of a field that depends on two or more independent variables, which are typically spatial. We demonstrate the decomposition of the nonhomogeneous Dirichlet Boundary value problem for the Laplacian on a recta...

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Main Author:	Yasin, Muhammad Irfan
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Programming languages (Electronic computers)
Online Access:	https://ir.uitm.edu.my/id/eprint/40646/1/40646.pdf
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id	my-uitm-ir.40646
record_format	uketd_dc
spelling	my-uitm-ir.406462021-01-25T04:58:18Z Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin 2019-01 Yasin, Muhammad Irfan Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Difference equations. Functional equations. Delay differential equations. Integral equations Programming languages (Electronic computers) In this project, we start our study of Laplace’s equation, which represents the steady state of a field that depends on two or more independent variables, which are typically spatial. We demonstrate the decomposition of the nonhomogeneous Dirichlet Boundary value problem for the Laplacian on a rectangular domain and solid cuboid. For the rectangular domain, we separate into a sequence of four boundary value problems which each having only two boundary segment that has nonhomogeneous boundary conditions and the remainder of the boundary is subject to homogeneous boundary conditions. Then for the solid cuboid, we separate into a sequence of six boundary value problems which each having only two boundary segment that has nonhomogeneous boundary conditions and the remainder of the boundary is subject to homogeneous boundary conditions. These latter problems can then be solved by separation of variables method. 2019-01 Thesis https://ir.uitm.edu.my/id/eprint/40646/ https://ir.uitm.edu.my/id/eprint/40646/1/40646.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Ramli, Abdul Rahim
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Ramli, Abdul Rahim
topic	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Mathematical statistics Probabilities Programming languages (Electronic computers)
spellingShingle	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Mathematical statistics Probabilities Programming languages (Electronic computers) Yasin, Muhammad Irfan Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin
description	In this project, we start our study of Laplace’s equation, which represents the steady state of a field that depends on two or more independent variables, which are typically spatial. We demonstrate the decomposition of the nonhomogeneous Dirichlet Boundary value problem for the Laplacian on a rectangular domain and solid cuboid. For the rectangular domain, we separate into a sequence of four boundary value problems which each having only two boundary segment that has nonhomogeneous boundary conditions and the remainder of the boundary is subject to homogeneous boundary conditions. Then for the solid cuboid, we separate into a sequence of six boundary value problems which each having only two boundary segment that has nonhomogeneous boundary conditions and the remainder of the boundary is subject to homogeneous boundary conditions. These latter problems can then be solved by separation of variables method.
format	Thesis
qualification_level	Bachelor degree
author	Yasin, Muhammad Irfan
author_facet	Yasin, Muhammad Irfan
author_sort	Yasin, Muhammad Irfan
title	Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin
title_short	Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin
title_full	Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin
title_fullStr	Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin
title_full_unstemmed	Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin
title_sort	higher dimensional laplace equation for nonhomogeneous dirichlet boundary condition / muhammad irfan yasin
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40646/1/40646.pdf
_version_	1783734589808705536

Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin

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