Baysal, OnurTanoğlu, Gamze04.02. Department of Mathematics04. Faculty of Science01. Izmir Institute of Technology2019-10-022019-10-022012Baysal, O. and Tanoğlu, G. (2012). An operator splitting approximation combined with the supg method for transport equations with nonlinear reaction term. Computer Modeling in Engineering and Sciences, 84(1), 27-39.1526-1492https://hdl.handle.net/11147/7292In 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.eninfo:eu-repo/semantics/openAccessOperator splittingStabilized finite element methodSUPG methodArticle2-s2.0-84862649631