Numerical Investigation of Chemical Schnakenberg Mathematical Model

Schnakenberg model is known as one of the influential model used in several biological processes. The proposed model is an autocatalytic reaction in nature that arises in various biological models. In such kind of reactions, the rate of reaction speeds up as the reaction proceeds. It is because when...

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Autores principales:	Faiz Muhammad Khan, Amjad Ali, Nawaf Hamadneh, null Abdullah, Md Nur Alam
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Technology (General) T1-995
Acceso en línea:	https://doaj.org/article/82fe44d52bc14ad7a925abd315ecb949
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spelling	oai:doaj.org-article:82fe44d52bc14ad7a925abd315ecb9492021-11-22T01:11:05ZNumerical Investigation of Chemical Schnakenberg Mathematical Model1687-412910.1155/2021/9152972https://doaj.org/article/82fe44d52bc14ad7a925abd315ecb9492021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9152972https://doaj.org/toc/1687-4129Schnakenberg model is known as one of the influential model used in several biological processes. The proposed model is an autocatalytic reaction in nature that arises in various biological models. In such kind of reactions, the rate of reaction speeds up as the reaction proceeds. It is because when a product itself acts as a catalyst. In fact, model endows fractional derivatives that got great advancement in the investigation of mathematical modeling with memory effect. Therefore, in the present paper, the authors develop a scheme for the solution of fractional order Schnakenberg model. The proposed model describes an auto chemical reaction with possible oscillatory behavior which may have several applications in biological and biochemical processes. In this work, the authors generalized the concept of integer order Schnakenberg model to fractional order Schnakenberg model. We provided the approximate solution for the underlying generalized nonlinear Schnakenberg model in the sense of Caputo differential operator via Laplace Adomian decomposition method (LADM). Furthermore, we established the general scheme for the considered model in the form of infinite series by the aforementioned technique. The consequent results obtained by the proposed technique ensure that LADM is an effective and accurate techniques to handle nonlinear partial differential equations as compared to the other available numerical techniques. Finally, the obtained numerical solution is visualized graphically by MATLAB to describe the dynamics of desired solution.Faiz Muhammad KhanAmjad AliNawaf Hamadnehnull AbdullahMd Nur AlamHindawi LimitedarticleTechnology (General)T1-995ENJournal of Nanomaterials, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Technology (General) T1-995
spellingShingle	Technology (General) T1-995 Faiz Muhammad Khan Amjad Ali Nawaf Hamadneh null Abdullah Md Nur Alam Numerical Investigation of Chemical Schnakenberg Mathematical Model
description	Schnakenberg model is known as one of the influential model used in several biological processes. The proposed model is an autocatalytic reaction in nature that arises in various biological models. In such kind of reactions, the rate of reaction speeds up as the reaction proceeds. It is because when a product itself acts as a catalyst. In fact, model endows fractional derivatives that got great advancement in the investigation of mathematical modeling with memory effect. Therefore, in the present paper, the authors develop a scheme for the solution of fractional order Schnakenberg model. The proposed model describes an auto chemical reaction with possible oscillatory behavior which may have several applications in biological and biochemical processes. In this work, the authors generalized the concept of integer order Schnakenberg model to fractional order Schnakenberg model. We provided the approximate solution for the underlying generalized nonlinear Schnakenberg model in the sense of Caputo differential operator via Laplace Adomian decomposition method (LADM). Furthermore, we established the general scheme for the considered model in the form of infinite series by the aforementioned technique. The consequent results obtained by the proposed technique ensure that LADM is an effective and accurate techniques to handle nonlinear partial differential equations as compared to the other available numerical techniques. Finally, the obtained numerical solution is visualized graphically by MATLAB to describe the dynamics of desired solution.
format	article
author	Faiz Muhammad Khan Amjad Ali Nawaf Hamadneh null Abdullah Md Nur Alam
author_facet	Faiz Muhammad Khan Amjad Ali Nawaf Hamadneh null Abdullah Md Nur Alam
author_sort	Faiz Muhammad Khan
title	Numerical Investigation of Chemical Schnakenberg Mathematical Model
title_short	Numerical Investigation of Chemical Schnakenberg Mathematical Model
title_full	Numerical Investigation of Chemical Schnakenberg Mathematical Model
title_fullStr	Numerical Investigation of Chemical Schnakenberg Mathematical Model
title_full_unstemmed	Numerical Investigation of Chemical Schnakenberg Mathematical Model
title_sort	numerical investigation of chemical schnakenberg mathematical model
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/82fe44d52bc14ad7a925abd315ecb949
work_keys_str_mv	AT faizmuhammadkhan numericalinvestigationofchemicalschnakenbergmathematicalmodel AT amjadali numericalinvestigationofchemicalschnakenbergmathematicalmodel AT nawafhamadneh numericalinvestigationofchemicalschnakenbergmathematicalmodel AT nullabdullah numericalinvestigationofchemicalschnakenbergmathematicalmodel AT mdnuralam numericalinvestigationofchemicalschnakenbergmathematicalmodel
_version_	1718418291595149312

Numerical Investigation of Chemical Schnakenberg Mathematical Model

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