Finite element approximations of Burgers' equation
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It is known that for sufficiently small initial data, all steady state solutions of Burgers' equation with Neumann boundary conditions are constant. The goal here is to investigate the case where initial data is large. Our numerical results indicate that for certain initial data the solution of Burgers' equation can approach non-constant functions as time goes to infinity. In addition, the numerical results raise some interesting questions about steady state solutions of nonlinear systems.
- Masters Theses