Theses and Dissertations - UTB/UTPA

Date of Award


Document Type


Degree Name

Master of Science (MS)



First Advisor

Dr. Dambaru Bhatta

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Paul Bracken


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.


Copyright 2014 Maria Munguia. All Rights Reserved.

Granting Institution

University of Texas-Pan American