A Discontinuous Galerkin Least-Squares Finite Element Method for Solving Fisher's Equation
Document Type
Article
Publication Date
11-1-2013
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
In the present study, a discontinuous Galerkin least-squares finite element algorithm is developed to solve Fisher nation. The present method is effective and can be successfully applied to problems with strong reaction, to Which obtaining stable and accurate numerical traveling wave solutions is challenging. Numerical results are given to demonstrate the convergence rates of the method and the performance of the algorithm in long-time integrations.
Publication Title
Discrete and Continuous Dynamical Systems
First Page
489
Last Page
497
Recommended Citation
Lin, R.,
Zhu, H.
(2013). A Discontinuous Galerkin Least-Squares Finite Element Method for Solving Fisher's Equation. Discrete and Continuous Dynamical Systems, 489-497.
Available at: https://aquila.usm.edu/fac_pubs/7977