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.
Lihua Guo. Boying Wu. Dazhi Zhang. "A New Numerical Algorithm for Two-Point Boundary Value Problems." Abstr. Appl. Anal. 2014 (SI32) 1 - 6, 2014. https://doi.org/10.1155/2014/302936