Award Date

1-1-2002

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Committee Member

Xin Li

Number of Pages

53

Abstract

This thesis addresses the problem of obtaining solutions to Poisson's equation which is encountered in the applied sciences and engineering fields. Two separate methods are explained for obtaining particular solutions to this equation. The Method of Fundamental Solutions is then used to solve the remaining homogeneous equation in the context of the Method of Particular Solutions and Dual Reciprocity Method. Numerous examples are given using 2-D and 3-D domain problems; The first method is an interpolation method that has resulted in some problems with ill-conditioning of the matrix used in the problem solving and a remedy has been examined in this paper. The second approximation method is new to this study and has revealed to have excellent results thus far for the problems researched in this paper. The basic theory behind the development of these methods is explained and then examples are given. The examples given were obtained using a Gateway PC with Visual Fortran programming software.

Keywords

Basis; Equation; Functions; Numerical; Poisson; Radial Solutions

Controlled Subject

Mathematics

File Format

pdf

File Size

1136.64 KB

Degree Grantor

University of Nevada, Las Vegas

Language

English

Permissions

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Identifier

https://doi.org/10.25669/ib65-r7oh


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