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چکیده : 

The motivation for this paper is to solve a model based on the dynamics of electrons in a

plasma using a simplified Boltzmann equation. Such problems have arisen in active plasma

resonance spectroscopy, which is used for plasma diagnostic techniques; see Braithwaite

and Franklin (2009) [1]. We propose a modified iterative splitting approach to solve the

Boltzmann equations as a system of integro-differential equations. To enable solution

by fast and iterative computations, we first transform the integro-differential equations

into second order differential equations. Second, we split each second order differential

equations into two first order differential equations via a splitting approach. We carry out

an error analysis of the higher order iterative approach. Numerical experiments with a

simplified Boltzmann equation will be discussed, along with the benefits of computing with

this splitting approach.