A Combination of a Special Hermite Finite Element with Collocation for a Reaction-Diffusion Type Equation.

Autor: Gileva, L. V., Karepova, E. D., Shaidurov, V. V.
Zdroj: Lobachevskii Journal of Mathematics; Apr2019, Vol. 40 Issue 4, p459-468, 10p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index