A new algorithm for a class of singular boundary value problems

作者：Yao Huanmin; Cui Minggen^*

来源：Applied Mathematics and Computation, 2007, 186(2): 1183-1191.

DOI：10.1016/j.amc.2006.07.157

• singular boundary value problem
• original differential equation
• reproducing kernel space

In this paper, we present a new algorithm to solve a class of singular boundary value problems in the reproducing kernel space W-2(3)[0, 1]. The algorithm is efficiently applied to solving some model problems with the comparison between the numerical solutions and the exact solutions. It is demonstrated by the numerical examples that this algorithm is of high precision.

• 出版日期2007-3-15
• 单位哈尔滨工业大学; 哈尔滨师范大学