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5.5 Agent in the Simulation of Dynamic Processes
in the Continous Environments
Dynamic processes taking place in the continuous environments are most often
described with the use of partial differential equations. The solution is a function spec-
ifying the distribution of parameter, which is the subject of the simulation, in two-or
three-dimensional space. The method of the finite elements or finite differences
based on the creation of appropriately configured networks is most often applied to
the numerical solutions of such of problems. Space is covered with a grid made up
of nodes joined with the edges. The simulation of the processes proceeding in time
in the environments involves the calculation of the value of the function, which is
the solution to the initial differential equation in the nodes of the grid. To specify
the behaviour of the process in time, the system stimulating this process calculates
the value of the function at particular points of space-time. The grid consisting of
nodes connected together makes a characteristic environment which can be used for
the activity of agents. The agent system consisting of agents acting in this kind of
environment sets out the new approach to the simulation of the dynamic processes
of a given class.
5.5.1 The Agent Simulation of Complex Phenomena
5.5.1.1 The Concept of Simulation
The models of phenomena described with the use of partial differential equations
may be of complex character, if a couple of physical processes proceeding at the
same time (the flow of heat and the movement of the centre Fig. 5.25 )aretakeninto
consideration. The formal description of these phenomena becomes complex, and it
is often impossible to search for solutions with the use of classic methods.
Fig. 5.25 Schema
illustrating the process of
heat spreading and relocation
of environments: a without
relocation of the bodies,
b with the movement of one
body relative to the other
(a)
(b)
v
 
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