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

TL;DR

This paper introduces a multiple iterative splitting method tailored for solving higher order and integro-differential equations, motivated by applications in plasma physics and spectroscopy, enhancing computational efficiency and accuracy.

Contribution

It extends standard iterative splitting schemes to handle higher order and integro-differential equations, specifically targeting applications in plasma diagnostics and wave-based spectroscopy.

Findings

Effective in solving higher order differential equations

Applicable to plasma resonance spectroscopy problems

Improves computational performance in dynamical systems

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.