Multiple Iterative Splitting method for Higher order and Integro-differental equations

Abstract

In this paper we present an extension of standard iterative splitting schemes to multiple splitting schemes for solving higher order differential equations. We are motivated by dynamical systems, which occur in dynamics of the electrons in the plasma using a simplified Boltzmann equation. Oscillation problems in spectroscopy problems using wave-equations. The motivation arose to simulate active plasma resonance spectroscopy which is used for plasma diagnostic techniques.