An efficient approach for solution of fractional-order Helmholtz equations

Autor:	Nehad Ali Shah, Essam R. El-Zahar, Mona D. Aljoufi, Jae Dong Chung
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Elzaki transform Homotopy perturbation method Helmholtz equations Mittag-Leffler function Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-15 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-03167-x
Popis:	Abstract In this article, a hybrid technique called the homotopy perturbation Elzaki transform method has been implemented to solve fractional-order Helmholtz equations. In the hybrid technique, the Elzaki transform method and the homotopy perturbation method are amalgamated. Three problems are solved to validate and demonstrate the efficacy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the results by other techniques. It is shown that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5527f974f3ac4e4ea3709b305764d15c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.