A Combination of a Special Hermite Finite Element with Collocation for a Reaction-Diffusion Type Equation
- Авторы: Gileva L.1,2, Karepova E.1,2, Shaidurov V.1,2
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Учреждения:
- Institute of Computational Modelling, Siberian Branch
- Siberian Federal University
- Выпуск: Том 40, № 4 (2019)
- Страницы: 459-468
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204253
- DOI: https://doi.org/10.1134/S1995080219040085
- ID: 204253
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Аннотация
In the paper, we propose an efficient method based on the use of a bicubic Hermite finite element coupled with collocation for the reaction-diffusion equation with a variable coefficient. This enables one to reduce the dimension of the system of equations in comparison with the standard finite element scheme. Numerical experiments confirm a theoretical convergence estimate and demonstrate the advantage of the proposed method.
Об авторах
L. Gileva
Institute of Computational Modelling, Siberian Branch; Siberian Federal University
Автор, ответственный за переписку.
Email: gileva@icm.krasn.ru
Россия, Krasnoyarsk, 660036; Krasnoyarsk, 660041
E. Karepova
Institute of Computational Modelling, Siberian Branch; Siberian Federal University
Автор, ответственный за переписку.
Email: e.d.karepova@icm.krasn.ru
Россия, Krasnoyarsk, 660036; Krasnoyarsk, 660041
V. Shaidurov
Institute of Computational Modelling, Siberian Branch; Siberian Federal University
Автор, ответственный за переписку.
Email: shaidurov04@mail.ru
Россия, Krasnoyarsk, 660036; Krasnoyarsk, 660041