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Appl. Syst. Innov. 2018, 1(3), 29; https://doi.org/10.3390/asi1030029

New Approximation Methods Based on Fuzzy Transform for Solving SODEs: I

1
Institute of Engineering Mathematics, Universiti Malaysia Perlis, Kampus Tetap Pauh Putra, Arau 02600, Perlis, Malaysia
2
Institute for Research and Applications of Fuzzy Modelling, University of Ostrava, NSC IT4Innovations, 30. dubna 22, 701 03 Ostrava, Czech Republic
*
Author to whom correspondence should be addressed.
Received: 17 June 2018 / Revised: 11 August 2018 / Accepted: 14 August 2018 / Published: 23 August 2018
(This article belongs to the Special Issue Fuzzy Decision Making and Soft Computing Applications)
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Abstract

In this paper, new approximation methods for solving systems of ordinary differential equations (SODEs) by fuzzy transform (FzT) are introduced and discussed. In particular, we propose two modified numerical schemes to solve SODEs where the technique of FzT is combined with one-stage and two-stage numerical methods. Moreover, the error analysis of the new approximation methods is discussed. Finally, numerical examples of the proposed approach are confirmed, and applications are presented. View Full-Text
Keywords: fuzzy partition; fuzzy transform; numerical methods; systems of ordinary differential equations fuzzy partition; fuzzy transform; numerical methods; systems of ordinary differential equations
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ALKasasbeh, H.; Perfilieva, I.; Ahmad, M.Z.; Yahya, Z.R. New Approximation Methods Based on Fuzzy Transform for Solving SODEs: I. Appl. Syst. Innov. 2018, 1, 29.

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