基于相似结构算法设计.pdf

Advances in Applied Mathematics 应用数学进展, 2013, 2, 107-113
http://dx./.23014 Published Online August 2013 (rnal/)
Algorithms Design Based on Similar Structure
Congyin Fan, Shunchu Li, Xiaoxu Dong, Lixia Bai
Institute of Applied Mathematics, Xihua University, Chengdu
Email: fcy8843@

Received: Jun. 20th, 2013; revised: Jun. 29th, 2013; accepted: Jul. 8th, 2013

Copyright © 2013 Congyin Fan et al. This is an open access article distributed under the mons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract: Based on the similar structure theory, we conduct a rigorous mathematical derivation and prove the
solution procedure of a class of differential equation boundary value problems. Thus, we put forward a new
algorithm to solve this kind of boundary value problem—Similar Structure Algorithm. As the similar struc-
ture algorithms only have four arithmetic and logical operations, they are easily available for puter.
An example was given at the end of this paper. Also a simulation experiment was designed by using MAT-
LAB programming language according to the proposed algorithms. By changing the coefficients of the
boundary conditions, results are observed and analyzed.

Keywords: MATLAB Programming; Algorit