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50.755  Articles
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A simple analytical solution to the problem of dividing manifold flow has been developed in the present study. Based on simplifying hypotheses accepted in practice and using energy principle considerations, differential equations for pressure head variati... see more

This paper presents an analytical solution for a model of the soybean oil extraction using horizontal belt extractors. The partial differential equations of the chosen model describe the mass transfer in the bed, as well as each stage of the extraction pr... see more

This paper reports an analytical solution to one of the problems related to applied mechanics and acoustics, which tackles the analysis of free axisymmetric bending oscillations of a circular plate of variable thickness. A plate rigidly-fixed along the co... see more

The present work deals with the mathematical modelling and analytical solution of the problem of standing waves in rectangular curved channels under supercritical flow regime. To date, several numerical models and some analytical solutions have been propo... see more

The aim of this work is to use a semi-analytical method “Reduced Differential Transform Method (RDTM)” for the solution of linear and nonlinear Newell-Whitehead-Segel Equations (NWSE). RDTM does not require linearization, transformation, discretization, p... see more

Context. We consider a Volterra integral equation of the first kind which may be applied to the data filtration and forecast of fractal random processes, for example, in information-telecommunication systems and in control of complex technological pr... see more

The aim of the article is to highlight the mathematical formalization basic principles of the approximate inflation kinetic models solutions, the exact solutions of which are obtained only by numerical integration.The basis in achieving this goal is the d... see more

The article present an analytical solution to calculate the crack growth characteristics of semi-submersible platform’s horizontal brace with a circumferential through–crack lies at the boundary between the horizontal brace and column loaded by tension. T... see more

In this paper, we investigate analytical solutions of multi-time scale fractional stochastic differential equations driven by fractional Brownian motions. We firstly decompose homogeneous multi-time scale fractional stochastic differential equations drive... see more

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