Use of Cubic B-Spline in Approximating Solutions of Boundary Value Problems

Authors

Maria Mungia, South Texas College
Dambaru Bhatta, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

12-2015

Abstract

Here we investigate the use of cubic B-spline functions in solving boundary value problems. First, we derive the linear, quadratic, and cubic B-spline functions. Then we use the cubic B-spline functions to solve second order linear boundary value problems. We consider constant coefficient and variable coefficient cases with non-homogeneous boundary conditions for ordinary differential equations. We also use this numerical method for the space variable to obtain solutions for second order linear partial differential equations. Numerical results for various cases are presented and compared with exact solutions.

Recommended Citation

Mungia, Maria, and Dambaru Bhatta. 2015. “Use of Cubic B-Spline in Approximating Solutions of Boundary Value Problems.” Applications and Applied Mathematics: An International Journal 10 (2): 750–71.

First Page

750

Last Page

771

Publication Title

Applications and Applied Mathematics: An International Journal