Cubic B-spline: Derivation with two applications

Authors

Maria Mungia, University of Texas-Pan American

Date of Award

5-2014

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Dambaru Bhatta

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Paul Bracken

Abstract

We investigate the application of cubic B-spline functions in this work. First, we derive the cubic B-spline functions. Then we use these functions for two applications: one for interpolation and the other for solving boundary value problems. For interpolation, we consider two types of boundary conditions, namely natural and clamped. For boundary value problems, we consider constant coefficient and variable coefficient cases. Examples with numerical results are presented for both applications. Also we compare the results obtained using cubic B-spline functions with the results obtained by other methods. For this investigation, it is observed that cubic B-spline gives better results.

Comments

Copyright 2014 Maria Munguia. All Rights Reserved.

https://www.proquest.com/dissertations-theses/cubic-b-spline-derivation-with-two-applications/docview/1560677421/se-2

Granting Institution

University of Texas-Pan American