Solving differential equations with least square and collocation methods

Author

Katayoun Bodouhi Kazemi, University of Nevada, Las VegasFollow

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

File Format

pdf

Degree Grantor

University of Nevada, Las Vegas

Language

English

Repository Citation

Kazemi, Katayoun Bodouhi, "Solving differential equations with least square and collocation methods" (2015). UNLV Theses, Dissertations, Professional Papers, and Capstones. 2548.
http://dx.doi.org/10.34917/8220120

Rights

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