Author(s)

Bin Lin

School of Mathematics and Computation Science, Lingnan Normal University, Zhanjiang, China.

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.

Fifth Order B-Spline Functions, B-Spline Collocation Method, Singularly Perturbed Boundary Value Problems

Lin, B. (2016) B-Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems. Journal of Applied Mathematics and Physics, 4, 1699-1704. doi: 10.4236/jamp.2016.49178.