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Publikační činnost

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Typ záznamu * :	článek v odborném periodiku (J)
Domácí pracoviště * :	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Název * :	New Fuzzy Numerical Methods for Solving Cauchy Problems
Citace :	Perfiljeva, I., ALKasasbeh, H., Ahmad, M. a Yahya, Z. New Fuzzy Numerical Methods for Solving Cauchy Problems. Applied System Innovation. 2018, 1(2), s. 1-16. ISSN 2571-5577.

Podnázev :
Rok * :	2018
Obor * :	Obecná matematika
Kód ISSN * :	2571-5577
Oficiální název periodika * :	Applied System Innovation
Stát vydavatele periodika * :	Švýcarská konfederace
Svazek periodika * :	1
Číslo periodika v rámci svazku * :	2
Číslo článku :
Ročník :
Počet stran článku * :	16
Strana od * :	1
Strana do * :	16
Kód UT WoS :
EID :
Poddruh recenzovaného článku :	Článek v neimpaktovaném recenzovaném časopise(Jneimp/Jost)

Klíčová slova anglicky * :	Cauchy Problems; New Iterative Method; fuzzy partition; Fuzzy Transform
Popis v původním jazyce * :	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.
Popis v anglickém jazyce * :	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.

Typ zdroje financování výsledku * :

Projekty CEP/Záměry CEZ

Seznam projektů :

ID Projektu	Název projektu

Seznam ohlasů :

Ohlas

R01:	RIV/61988987:17610/18:A1901W9Y

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