Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform

Article type: Research Article

Authors: Chen, Wei | Shen, Yonghong^;

Affiliations: School of Information, Capital University of Economics and Business, Beijing, P.R. China | School of Mathematics, Beijing Institute of Technology, Beijing, P.R. China | School of Mathematics and Statistics, Tianshui Normal University, Tianshui, P.R. China

Note: [] Corresponding author. Yonghong Shen, E-mails: [email protected]; [email protected]

Abstract: In the present paper, based on the fuzzy transform method, a novel and efficient algorithm to obtain an approximate solution for a class of second-order ordinary differential equations is proposed, in which two cases are considered, that is, whether the differential equation contains first-order derivative. Finally, several examples are given to demonstrate the effectiveness of the proposed algorithm.

Keywords: Fuzzy transform, inverse fuzzy transform, approximate solution, ordinary differential equations, taylor expansion

DOI: 10.3233/IFS-130979

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 73-82, 2014