A New Numerical Algorithm for Two-Point Boundary Value Problems

作者：Guo, Lihua; Wu, Boying; Zhang, Dazhi^*

来源：Abstract and Applied Analysis, 2014, 2014: 302936.

DOI：10.1155/2014/302936

• FINITE-DIFFERENCE METHOD
• DECOMPOSITION METHOD
• NONUNIFORM MESH
• ORDER

We present a new numerical algorithm for two-point boundary value problems. We first present the exact solution in the form of series and then prove that the n-term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.

• 出版日期2014
• 单位哈尔滨工业大学