A reliable computational approach for fractional isothermal chemical model

Autor: Devendra Kumar, Hunney Nama, Dumitru Baleanu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 108, Iss , Pp 364-370 (2024)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2024.07.017
Popis: This article analyzes and computes numerical solutions for the fractional isothermal chemical (FIC) model. This work suggested a Jacobi collocation method (JCM) to examine the FIC model. In the beginning, we constructed the operational matrices for fractional order derivatives for Jacobi polynomials. Then, by using operational matrices and the collocation technique, we converted the provided model into a set of algebraic equations. The approach that is used in this article is quicker and more effective than several other schemes. We solve the system of equations for various fractional orders of differentiation. Comparison of JCM and Newton polynomial interpolation (NPI) technique is present in this article. Furthermore, an error analysis of the proposed procedure is also given.
Databáze: Directory of Open Access Journals