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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 312328, 12 pages
http://dx.doi.org/10.1155/2013/312328
Research Article

Adams Predictor-Corrector Systems for Solving Fuzzy Differential Equations

1Department of Public Courses, Gansu College of Traditional Chinese Medicine, Lanzhou 730000, China
2College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received 20 March 2013; Revised 31 May 2013; Accepted 2 June 2013

Academic Editor: Valentina E. Balas

Copyright © 2013 Dequan Shang and Xiaobin Guo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A predictor-corrector algorithm and an improved predictor-corrector (IPC) algorithm based on Adams method are proposed to solve first-order differential equations with fuzzy initial condition. These algorithms are generated by updating the Adams predictor-corrector method and their convergence is also analyzed. Finally, the proposed methods are illustrated by solving an example.