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• W112779991 abstract "Abstract This is an attempt to construct a strong numerical method for transportdiffusion equations with nonlinear reaction terms, which relies on the idea of the Modified Method of Characteristics that is explicit but stable and is second-order accurate in time. The method consists in convective-diffusive splitting of the equations along the characteristics. The convective stage of the splitting is straightforwardly treated by a quasi-monotone and conservative modified method of characteristics, while the diffusive-reactive stage can be approximated by an explicit scheme with an extended real stability interval. A numerical comparative study of the new method with Characteristics Crank-Nicholson and Classical Characteristics Runge-Kutta schemes, which are used in many transport-diffusion models, is carried out for several benchmark problems, whose solutions represent relevant transport-diffusion-reaction features. Experiments for transport-diffusion equations with linear and nonlinear reactive sources demonstrate the ability of our new algorithm to better maintain the shape of the solution in the presence of shocks and discontinuities." @default.
• W112779991 created "2016-06-24" @default.
• W112779991 creator A5028169612 @default.
• W112779991 date "2001-01-01" @default.
• W112779991 modified "2023-10-14" @default.
• W112779991 title "On the Quasi-monotone Modified Method of Characteristics for Transport-diffusion Problems with Reactive Sources" @default.
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• W112779991 doi "https://doi.org/10.2478/cmam-2002-0012" @default.
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