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

Yasin, Muhammad Irfan (2019) Higher dimensional Laplace equation for nonhomogeneous Dirichlet Boundary condition / Muhammad Irfan Yasin. Degree thesis, Universiti Teknologi MARA.

Download

[thumbnail of 40646.pdf] Text
40646.pdf

Download (100kB)

Abstract

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.

Metadata

Item Type: Thesis (Degree)
Creators:
Creators
Email
Yasin, Muhammad Irfan
2015686538
Contributors:
Contribution
Name
Email / ID Num.
Thesis advisor
Ramli, Abdul Rahim
UNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Q Science > QA Mathematics > Analysis > Difference equations. Functional equations. Delay differential equations. Integral equations
Q Science > QA Mathematics > Programming languages (Electronic computers)
Divisions: Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme: Bachelor of Science (Hons) Computational Mathematics
Item ID: 40646
Uncontrolled Keywords: Laplace’s Equation ; Nonhomogeneous Dirichlet ; Laplacian ; Rectangular Domain
URI: https://ir.uitm.edu.my/id/eprint/40646

Fulltext

Fulltext is available at:
  • Kaunter Perkhidmatan Maklumat | Perpustakaan Cendekiawan | Dungun
  • ID Number

    40646

    Indexing


    View in Google Scholar

    Edit Item
    Edit Item