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A Software Package for Modeling Unsteady and Oscillatory Motions of an Elastic Viscous Fluid in a Cylindrical Pipe

Rajabov Suxrob XudoyberdiyevichAssociate Professor, Department of Exact and Natural Sciences, Kattakurgan State Pedagogical InstituteTurdimurodov Otabek Farhod o'g'liAssistant, Department of Algebra and Geometry, Samarkand State UniversityTursunova Lola Bektosh qizi2nd-year student, Faculty of Mathematics, Samarkand State University
2026en
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This paper describes the development of software tools intended for the mathematical modeling of unsteady and oscillatory flows of elastic-viscous fluids, for numerical computation, and for the graphical analysis of the results obtained. The developed programs make it possible to compute the discretized form of the mathematical model, to form the solution in time, to determine the influence of the main physical parameters on the flow process, and to present the calculation results in numerical and graphical form. Two independent programs are considered: the first computes the unsteady flow of an elastic-viscous fluid in a flat channel by the fourth-order Runge–Kutta method in time, and the second computes mathematical models of the flow in the radial coordinate, compares the numerical solution with the analytical one, and displays the results in two- and three-dimensional graphs.

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