A New Numerical Algorithm for Two-Point Boundary Value Problems. (30th June 2014)

• Record Type: Journal Article
• Authors: Guo, Lihua; Wu, Boying; Zhang, Dazhi
• Other Names: Kou Jisheng Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-06-30
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/302936
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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.