Application of implicit-explicit general linear methods to reaction-diffusion problems


textcopyright 2015 AIP Publishing LLC. Implicit-explicit (IMEX) time stepping methods can efficiently solve differential equations with both stiff and nonstiff components. We have recently proposed new implicit-explicit methods of general linear type (IMEX-GLMs) in [11, 10]. It was shown that no additional coupling order conditions are needed, and consequently that GLMs offer an excellent framework for the construction of multi-method integration algorithms. In this paper we investigate the application of IMEX GLMs to solve reaction-diffusion problems. Numerical results show that IMEX GLMs are competitive for these applications.

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