Comparing Two Types of Bases For Solving Elliptic Boundary Value Problems

Authors

Haiyan Y. Tian, University of Southern MississippiFollow
Hongmei Chi, Florida Agricultural and Mechanical UniversityFollow
Yanzhao Cao, Auburn UniversityFollow

Document Type

Article

Publication Date

6-1-2015

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Delta-shaped basis functions are approximately compactly supported basis functions and they can effectively handle scattered data. In this paper, the performance of delta-shaped basis functions is compared with that of the compactly supported radial basis functions for solving elliptic boundary value problems in a collocation approach.

Publication Title

Neural, Parallel and Scientific Computations

Volume

23

Issue

2-4

First Page

411

Last Page

419

Recommended Citation

Tian, H. Y., Chi, H., Cao, Y. (2015). Comparing Two Types of Bases For Solving Elliptic Boundary Value Problems. Neural, Parallel and Scientific Computations, 23(2-4), 411-419.
Available at: https://aquila.usm.edu/fac_pubs/19751