Pattern formation of Schnakenberg model using trigonometric quadratic B-spline functions

被引：0
|
作者：
Aysun Tok Onarcan
Nihat Adar
Idiris Dag
机构：
[1] Eskisehir Osmangazi University,Department of Informatics
[2] Eskisehir Osmangazi University,Department of Computer Engineering
来源：
Pramana | / 96卷
关键词：
Reaction–diffusion systems; finite element; quadratic B-spline; Schnakenberg model; 02.70.Cn; 02.60.Cb; 52.35.Mw;
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摘要：
This paper deals with the design of a numerical method for the Schnakenberg model. The patterns are nicely captured by way of the parameter values of the Schnakenberg model. The spatial integration of the equation is achieved by using a finite element method setting up the trigonometric quadratic B-spline collocation method over the subelements of the problem domain. The Crank–Nicolson technique is employed to get fully integrated Schnakenberg model. Numerical examples are given to show the good agreement with the Schnakenberg patterns.
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