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- ItemFractional-splitting and domain-decomposition methods for parabolic problems and applications(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Daoud, Daoud; Geiser, JürgenIn this paper we consider the first order fractional splitting method to solve decomposed complex equations with multi-physical processes for applications in porous media and phase-transitions. The first order fractional splitting method is also considered as basic solution for the overlapping Schwarz-Waveform-Relaxation method for an overlapped subdomains. The accuracy and the efficiency of the methods are investigated through the solution of different model problems of scalar, coupling and decoupling systems of convection reaction diffusion equation.