### PROCESSING OF INFORMATION ON RECOVERY OF THE EXTERNAL FORCE PARAMETER FOR THE MATHEMATICAL MODEL OF ION-ACOUSTIC WAVES IN PLASMA

#### Abstract

The article is devoted to the processing of input information for the mathematical model of ion-acoustic waves considered in plasma, taking into account the influence of a magnetic field, which is external to the system under consideration. The solution of the inverse problem for this model is the generalized potential of the electric field and the parameter of the external magnetic field. To find the solution, the method of successive approximations is used, and the model itself is reduced to a high-order Sobolev type equation. The first paragraph presents the results of an analytical study of this model. In the second paragraph, the developed algorithm for carrying out information processing and its scheme are presented. In the third, the results of information processing obtained on the basis of computational experiments of the developed program in the "Maple" environment are presented. All the results obtained can be applied in the field of mathematical modeling, for example, in calculating the generalized electric field potential for ion-acoustic waves in plasma.

#### Keywords

mathematical model of ion-acoustic waves; inverse problem; numerical study; plasma; Sobolev type equation; method of successive approximations

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