Linear B-spline finite element method for the generalized diffusion equation with delay

Autor:	Gemeda Tolessa Lubo, Gemechis File Duressa
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Generalized diffusion equation with delay Finite element Linear B-spline Medicine Biology (General) QH301-705.5 Science (General) Q1-390
Zdroj:	BMC Research Notes, Vol 15, Iss 1, Pp 1-9 (2022)
Druh dokumentu:	article
ISSN:	1756-0500
DOI:	10.1186/s13104-022-06078-0
Popis:	Abstract Objectives The main aim of this paper is to develop a linear B-spline finite element method for solving generalized diffusion equations with delay. The linear B-spline basis function is used to discretize the space variable. The time discretization process is based on Crank-Nicolson. The benefit of the scheme is that the numerical solution is obtained as a smooth piecewise continuous function which empowers one to find an approximate solution at any desired position in the domain. Result Sufficient and necessary conditions for the numerical method to be asymptotically stable are derived. The convergence of the numerical method is studied. Some numerical experiments are performed to verify the applicability of the numerical method.
Databáze:	Directory of Open Access Journals
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