Award Date

December 2015

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Xin Li

Second Committee Member

Zhonghai Ding

Third Committee Member

Rohan Dalpatadu

Fourth Committee Member

David Hatchett

Number of Pages

65

Abstract

In this work, we first discuss solving differential equations by Least Square Methods (LSM). Polynomials are used as basis functions for first-order ODEs and then B-spline basis are introduced and applied for higher-order Boundary Value Problems (BVP) and PDEs. Finally, Kansa's collocation methods by using radial basis functions are presented to solve PDEs numerically. Various numerical examples are given to show the efficiency of the methods.

Keywords

collocation methods; differential equations; least squares methods; numerical methods

Disciplines

Mathematics

Language

English


Included in

Mathematics Commons

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