TITLE:
B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems
AUTHORS:
Bin Lin
KEYWORDS:
Fifth Order B-Spline Functions, B-Spline Collocation Method, Singularly Perturbed Boundary Value Problems
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.9,
September
7,
2016
ABSTRACT: We use fifth order B-spline functions to construct the numerical method for solving singularly perturbed boundary value problems. We use B-spline collocation method, which leads to a tri-diagonal linear system. The accuracy of the proposed method is demonstrated by test problems. The numerical results are found in good agreement with exact solutions.