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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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 |