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An Operator Splitting Approximation Combined With the Supg Method for Transport Equations With Nonlinear Reaction Term
(Tech Science Press, 2012) Baysal, Onur; Tanoğlu, Gamze
In this work, an operator splitting method is proposed in order to obtain a stable numerical solution for transport equation with non-linear reaction term. We split the transport equation into a reaction part and an advection diffusion part. The former one which becomes a nonlinear ordinary differential equation can be approximated by the simple higher order integrator or solved exactly. The later one is approximated by the Streamline-Upwind Petrov-Galerkin (SUPG) method combined with the generalized Euler time integration (q-method). Numerical results that illustrate the good performance of this method are reported.

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