Computer realization of parabolic type equations with Furie method

This article is about computer realization of parabolic type equations with Furie method.

CONFIDERATION OF NAVIGATION DANGER AT THE CHOICE OF MANOEUVRE OF DIVERGENCE OF SHIP WITH TWO TARGETS

It registers in the publication, that one of major is the problem of providing of safety of navigation, the successful decision of which conduces to the decline of harm of human life and environment. Paid attention, that sailing of maritime vessels in the straitened districts is considerably complicated by the navigation obstacles and intensive navigation, which create pre-conditions for the origin of emergency situations, thus sailing in the straitened districts is characterized by the fleeting change of navigation situation, that requires development of operative methods of estimation of danger of rapprochement and choice of safe maneuver of divergence. The high level of the use on the ship of information technologies determines expedience of computer realization of the developed methods of prevention of collision of vessels. It is specified, that in the conditions of intensive navigation there are the situations of dangerous rapprochement of ship with two targets at presence of navigation danger in the district of maneuvering. The analysis of the last achievements and publications is resulted on the theme of prevention of collisions of vessels and it is shown that at the locally-independent management for this purpose offered method of forming of flexible strategies of divergence, methods of nonlinear integral invariance and theories of optimum discrete processes. Formalization is also produced cooperation of vessels in the situations of dangerous rapprochement and choice of strategy of divergence. Strategy of urgent divergence is considered at rapprochement of vessels on small distances and description of process of divergence of vessels and choice of maneuver of divergence is produced in terms of differential antagonistic game. It is shown that for the decision the problem set in the article it is necessary to choose the course of deviation the nearest to programmatic, and which does not belong to none of three impermissible great number of courses of deviation: with the first target, with the second target and with a navigation danger. The condition of the safe passing by the ship of point danger, which foresees superiority of value of distance of the shortest rapprochement with her above the value of maximum possible distance of rapprochement, is resulted, and his analytical expression which allows to expect scope safe courses of deviation of ship. For estimation of danger of rapprochement of ship with a target equalizations of scopes of region of impermissible parameters of motion of ship are resulted. The situation of rapprochement of ship is considered with two targets and the regions of impermissible values of parameters of motion of ship in relation to each of targets are formed. The condition of dangerous rapprochement is formulated. The example of situation of rapprochement of ship with two targets is represented, when there is a point navigation danger in the district of sailing. The graphic reflection of regions of impermissible values of parameters of motion of ship in relation to each of targets is shown, on which the maximum courses of deviation on navigation limitations are also inflicted by the dotted Судноводіння | Shipping & Navigation ISSN 2306-5761 | 2618-0073 30-2020 100 Національний університет «Одеська морська академія» lines. The optimum courses of deviation by the change of course to the right and to the left are certain.

Propagation of Current Waves along Randomly Located Multiconductor Transmission Lines inside a Rectangular Resonator

Propagation of current waves along randomly located multiconductor transmission lines inside a rectangular resonator is investigated. Two different line configurations are considered: parallel wires and perpendicular lines. The analytical solutions for both types of lines are obtained, using the method of symmetrical lines inside the resonator. Computer realization of this method allows it to obtain a fast solution. Therefore, it becomes possible to investigate statistical properties of induced currents. It could be shown that the mutual coupling of the currents in the wires is strong when the frequency is near resonances in the system “cavity and wires” and relatively small far from these resonances. Stochastization leads to a broadening of the resonance curves.