In this paper, a hybrid technique called the homotopy analysis Sumudu transform method hasbeen implemented solve fractional-order partial differential equations. This technique is the amal-gamation of Sumudu transform method and the homotopy analysis method. Three examples areconsidered to validate and demonstrate the efficacy and accuracy of the present technique. It isalso demonstrated that the results obtained from the suggested technique are in excellent agree-ment with the exact solution which shows that the proposed method is efficient, reliable and easyto implement for various related problems of science and engineering.

An efficient hybrid technique for the solution of fractional-order partial differential equations

Cesarano C
2021-01-01

Abstract

In this paper, a hybrid technique called the homotopy analysis Sumudu transform method hasbeen implemented solve fractional-order partial differential equations. This technique is the amal-gamation of Sumudu transform method and the homotopy analysis method. Three examples areconsidered to validate and demonstrate the efficacy and accuracy of the present technique. It isalso demonstrated that the results obtained from the suggested technique are in excellent agree-ment with the exact solution which shows that the proposed method is efficient, reliable and easyto implement for various related problems of science and engineering.
2021
fractional differential equation
Sumudu transform
homotopy analysis method
File in questo prodotto:
File Dimensione Formato  
5150-PDF file-14902-1-10-20220103.pdf

non disponibili

Dimensione 373.58 kB
Formato Adobe PDF
373.58 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/1755
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
social impact