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

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Abstract

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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Acknowledgements

This work is presented at the International Conference on Mathematics “An Istanbul Meeting for World Mathematicians” 3–6 July 2018, Istanbul, Turkey.

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Authors and Affiliations

  1. Department of Informatics, Eskisehir Osmangazi University, Eskisehir, Turkey

    Aysun Tok Onarcan

  2. Department of Computer Engineering, Eskisehir Osmangazi University, Eskisehir, Turkey

    Nihat Adar & Idiris Dag

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  1. Aysun Tok Onarcan
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  2. Nihat Adar
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  3. Idiris Dag
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Correspondence to Aysun Tok Onarcan.

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Onarcan, A.T., Adar, N. & Dag, I. Pattern formation of Schnakenberg model using trigonometric quadratic B-spline functions. Pramana - J Phys 96, 138 (2022). https://doi.org/10.1007/s12043-022-02367-2

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  • DOI: https://doi.org/10.1007/s12043-022-02367-2

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