High Order Fractional Step Methods For Evolutionary Convection–Diffusion–Reaction Problems
نویسندگان
چکیده
In this paper we present a general framework for designing an analyzing high order in time fractional step schemes for integrating evolutionary convection-diffusion-reaction multidimensional problems. These methods are deduced, for example, by combining standard semidiscretization techniques (upwind) and a special kind of Runge-Kutta type schemes called Fractionary Steps Runge-Kutta methods. We show the deduction of such methods by combining consistency and linear absolute stability. Some numerical experiences are performed which confirm not only the theoretical results but also a good behavior in more general contexts. Key-Words: Fractional Steps, Alternating Directions, upwind, Evolutionary Convection-Diffusion
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