Title
A discontinuous Galerkin least-squares finite element method for solving Fisher's equation
Document Type
Article
Publication Title
Discrete and Continuous Dynamical Systems - Series S
Abstract
In the present study, a discontinuous Galerkin least-squares finite element algorithm is developed to solve Fisher's equation. 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.
First Page
489
Last Page
497
Publication Date
1-1-2013
Recommended Citation
Lin, Runchang and Zhu, Huiqing, "A discontinuous Galerkin least-squares finite element method for solving Fisher's equation" (2013). Mathematics & Physics Faculty Publications. 17.
https://rio.tamiu.edu/math_physics_facpubs/17