Mathematical and Computational Applications, Volume 8, Issue 1

All rotating shafts, even in the absence of external load, deflect during rotation. The magnitude of the deflection depends upon the stiffness of the shaft, its supports and also upon the load level. In this paper, a complete study of the effect of s...

Inverse problem of the two - phase liquid flow separation on components under magnetic field action is firstly resolved at given law of the moving boundary alteration. Automodel solution is established, which may be approximated till various areas of...

Influence of laser radiation on thermodynamic properties of heavy - viscous liquids is investigated. Mathematical model taking into account liquids viscosity and their thermal specifications is firstly developed. Inverse problem for acoustic pressure...

The Solution of the Subproblem of the Cutting Angle Method of Global Optimization for problems of minimizing increasing Positively Homogeneous of degree one functions is proved to be NP-Complete. For the proof of this fact we formulate another proble...

The multiple objective version of the tabu search (TS algorithm was initially developed by Baykasoglu et al [1-3]. The idea of applying tabu search to multiple objective optimization, inspired from its solution structure, in which tabu search works...

A model was developed by regression analysis to predict the tractive performance of 7.00-18 radial ply tire for agricultural tractors. Different parameters that affect the cone index of soil and wheel slip were considered for the analysis. To obtain...

For the scalar linear hyperbolic partial differential equations (PDEs) in two independent variables to be factorizable, the Laplace invariants h or k must be zero. In this paper, we find the Riemann function for the Goursat problem using the Lie grou...

As the Black-Scholes equation can be transformed into the one-dimensional linear heat equation via two sets of transformations, an optimal system of one-dimensional subalgebras for the one-dimensional heat equation is exploited to obtain two classes...

In this study, phase-plane analysis is carried out for a simplified model of Purkinje cell dendrite in term.s of voltage-gated ionic channels involved. State variables, nuliclines and equilibrium points of the model are determined, and effects of ion...

The problem of a ring-shaped crack in an infinitely long thick layer was considered in this study. The problem was formulated for a transversely isotropic material by using integral transform technique under uniform load. Due to the geometry of the c...

Some recent results on approximate Lie group methods and previously developed concepts on potential symmetries are extended and applied to nonlinear systems perturbed to some order by a small parameter. The potential (or auxiliary) form of the pertur...

We study here a mathematical problem of retrieving slowness (reciprocal of velocity) distribution of a medium from a set of the measured first arrivals traveltimes data between source?sand receivers within the medium.

This paper deals with analytical buckling analysis of the rectangular orthotropic simply supported plates reinforced with longitudinal stiff ribs. It was considered that the ribs with rectangular and circular cross-sections were parallel and equivale...

In this note an algorithm for testing on stability-unstability of polynomial segments with stable end-points is given. The algorithm is based on well-known segment lemma and on approximate positive real roots of suitable polynomial equation. In this...

In this article, the inverse problem of the differential inclusion theory is considered. For a given ε > 0 and a given special type set valued map t → V(t), t ∈ [t_*, t^*], it is required to define differential inclusion such that the Hausdorff dist...

In this article the properties of attainable sets of control systems with integral constraints on control are studied. The admissible control functions are chosen from the ball centered at the origin and of radius μ₀ in L_p, p > 1 It is proved that...