New Fuzzy Numerical Methods for Solving Cauchy Problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901W9Y" target="_blank" >RIV/61988987:17610/18:A1901W9Y - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2571-5577/1/2/15" target="_blank" >https://www.mdpi.com/2571-5577/1/2/15</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/asi1020015" target="_blank" >10.3390/asi1020015</a>

Result language
angličtina
Original language name
New Fuzzy Numerical Methods for Solving Cauchy Problems
Original language description
In this paper, new fuzzy numerical methods based on the fuzzy transform (F-transform or FT) for solving the Cauchy problem are introduced and discussed. In accordance with existing methods such as trapezoidal rule, Adams Moulton methods are improved using FT. We propose three new fuzzy methods where the technique of FT is combined with one-step, two-step, and three-step numerical methods. Moreover, the FT with respect to generalized uniform fuzzy partition is able to reduce error. Thus, new representations formulas for generalized uniform fuzzy partition of FT are introduced. As an application, all these schemes are used to solve Cauchy problems. Further, the error analysis of the new fuzzy methods is discussed. Finally, numerical examples are presented to illustrate these methods and compared with the existing methods. It is observed that the new fuzzy numerical methods yield more accurate results than the existing methods.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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