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