A Discontinuous Galerkin Least-Squares Finite Element Method for Solving Fisher's Equation
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.
Discrete and Continuous Dynamical Systems
(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