A New Numerical Algorithm for Two-Point Boundary Value Problems

Lihua Guo, Boying Wu, Dazhi Zhang
2014 Abstract and Applied Analysis  
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 then-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.
doi:10.1155/2014/302936 fatcat:m6whzn3m4fentcvu7fdgymudju