Operator splitting method Iterative solver method Distanglement method Parabolic differential equations Splitting Method of Convection-Diffusion Methods with Disentanglement methods. Disentanglement Methods. Juergen Geiser Geiser Juergen Mahmoud Elbiomy Elbiomy Mahmoud Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 11 p.

Splitting Method of Convection-Diffusion Methods with Disentanglement methods. Disentanglement Methods.

Juergen Geiser , Mahmoud Elbiomy

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 11 p.

MSC 2000

80A20 Heat and mass transfer, heat flow
80M25 Other numerical methods

Abstract
In this paper, we discuss higher-order operator-splitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We introduce the underlying splitting methods and the special scheme to compute the disentanglement method. First applications are done to consider finite difference methods to the spatial operators and derive their underlying Lie algebras. Based on the Lie algebra it is simple to compute the corresponding Lie group with $\exp$ functions. Such results help to derive the disentanglement of the operator splitting method. The verification of our improved splitting methods are done with first numerical examples.

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