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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901W45" target="_blank" >RIV/61988987:17610/18:A1901W45 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/2571-5577/1/3/30" target="_blank" >https://www.mdpi.com/2571-5577/1/3/30</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/asi1030030" target="_blank" >10.3390/asi1030030</a>

Result language
angličtina
Original language name
New Approximation Methods Based on Fuzzy Transform for Solving SODEs: II
Original language description
In this research, three approximation methods are used in the new generalized uniform fuzzy partition to solve the system of differential equations (SODEs) based on fuzzy transform (FzT). New representations of basic functions are proposed based on the new types of a uniform fuzzy partition and a subnormal generating function. The main properties of a new uniform fuzzy partition are examined. Further, the simpler form of the fuzzy transform is given alongside some of its fundamental results. New theorems and lemmas are proved. In accordance with the three conventional numerical methods: Trapezoidal rule (one step) and Adams Moulton method (two and three step modifications), new iterative methods (NIM) based on the fuzzy transform are proposed. These new fuzzy approximation methods yield more accurate results in comparison with the above-mentioned conventional 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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