A NOVEL NUMERICAL MANNER FOR NON-LINEAR COUPLED VARIABLE ORDER REACTION-DIFFUSION EQUATION

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dc.contributor.author Kashif, Mohd
dc.contributor.author Pandey, Prashant
dc.contributor.author Jafari, Hossein
dc.date.accessioned 2024-02-09T06:44:24Z
dc.date.available 2024-02-09T06:44:24Z
dc.date.issued 2022-07-04
dc.identifier.issn 03549836
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/2865
dc.description This paper published with affiliation IIT (BHU), Varanasi in Open Access Mode. en_US
dc.description.abstract In this work, an efficient variable order Bernstein collocation technique, which is based on Bernstein polynomials, is applied to a non-linear coupled system of variable order reaction-diffusion equations with given initial and boundary conditions. The operational matrix of Bernstein polynomials is derived for variable order derivatives w.r.t. time and space. The Bernstein operational matrix and collocation technique are applied to the concerned non-linear physical model to achieve a system of non-linear algebraic equations, which are further solved by using Newton method. A few examples are presented to demonstrate the accuracy and stability of the scheme by comparing L2 and L∞ norm errors between the obtained numerical solutions and existing solutions. The important feature of this article is the graphical exhibitions of the effects of variable order derivatives on the solutions of the considered non-linear coupled reaction-diffusion equation for different particular cases. en_US
dc.language.iso en en_US
dc.publisher Serbian Society of Heat Transfer Engineers en_US
dc.relation.ispartofseries Thermal Science;27
dc.subject Bernstein polynomials en_US
dc.subject convergence analysis en_US
dc.subject diffusion equation en_US
dc.subject error bounds en_US
dc.subject variable order derivatives en_US
dc.title A NOVEL NUMERICAL MANNER FOR NON-LINEAR COUPLED VARIABLE ORDER REACTION-DIFFUSION EQUATION en_US
dc.type Article en_US


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