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Engineering with Computers

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26.01.2021 | Original Article

A cubic B-spline quasi-interpolation algorithm to capture the pattern formation of coupled reaction-diffusion models

verfasst von: R. C. Mittal, Sudhir Kumar, Ram Jiwari

Erschienen in: Engineering with Computers | Sonderheft 2/2022

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Abstract

Diffusion plays a significant role in complex pattern formulations occurred in biological and chemical reactions. In this work, the authors study the effect of diffusion in coupled reaction-diffusion systems named the Gray-Scott model for complex pattern formation with the help of cubic B-spline quasi-interpolation (CBSQI) method and capture various formates of these patterns. The idea of Kronecker product is used first time with CBSQI method for 2D problems. Linear stability analysis of the reaction-diffusion system as well as stability of the proposed method is studied. Four test problems are considered to check the accuracy and efficiency of the method and found the stable patterns.

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Titel: A cubic B-spline quasi-interpolation algorithm to capture the pattern formation of coupled reaction-diffusion models
verfasst von: R. C. Mittal
Sudhir Kumar
Ram Jiwari
Publikationsdatum: 26.01.2021
Verlag: Springer London
Erschienen in: Engineering with Computers / Ausgabe Sonderheft 2/2022
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI: https://doi.org/10.1007/s00366-020-01278-3

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