Title : 
A Kind of Difference Method for Solving Linear System of Second-Order Boundary Value Problems
         
        
            Author : 
Huang, Cong ; Liu, Huan-Wen
         
        
            Author_Institution : 
Sch. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
         
        
        
        
        
        
            Abstract : 
The linear system of second-order boundary value problems is considered in this paper. By using the compact operator and the Richardson extrapolation, a finite difference scheme with the local truncation errors being fourth-order is constructed. Several numerical examples are displayed to show the efficiency of the new method.
         
        
            Keywords : 
boundary-value problems; extrapolation; finite difference methods; linear systems; Richardson extrapolation; difference method; finite difference scheme; linear system; local truncation errors; second-order boundary value problems; Boundary value problems; Computational modeling; Computer simulation; Differential equations; Extrapolation; Finite difference methods; Finite wordlength effects; Linear systems; Mathematical model; Nonlinear systems; finite difference method; linear system; second-order boundary value problems;
         
        
        
        
            Conference_Titel : 
Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on
         
        
            Conference_Location : 
Sanya, Hainan
         
        
            Print_ISBN : 
978-1-4244-5642-0
         
        
            Electronic_ISBN : 
978-1-4244-5643-7
         
        
        
            DOI : 
10.1109/ICCMS.2010.200