Numerical simulations of reaction–diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines-Reference-Cited by-同舟云学术

Numerical simulations of reaction–diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines

Published:2021-05-19 Issue:4 Volume:40 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Hepson Ozlem Ersoy,Yiğit Gülsemay,Allahviranloo Tofigh^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-021-01524-4.pdf

Reference37 articles.

1. Abbas M, Majid AA, Ismail AIM, Rashid A (2014a) The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems. Appl Math Comput 239:74–88

2. Abbas M, Majid AA, Ismail AIM, Rashid A (2014b) Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems. Abstr Appl Anal. https://doi.org/10.1155/2014/849682

3. Alinia N, Zarebnia M (2018) Trigonometric tension B-spline method for the solution of problems in calculus of variations. Comput Math Math Phys 58(5):631–641. https://doi.org/10.1134/S0965542518050020

4. Alinia N, Zarebnia M (2019) A numerical algorithm based on a new kind of tension B-spline function for solving Burgers–Huxley equation. Numer Algorithms 82:1121–1142

5. Chaplain MA, Ganesh M, Graham IG (2001) Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. J Math Biol 42(5):387–423. https://doi.org/10.1007/s002850000067

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