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Titlebook: Numerical Simulation of Distributed Parameter Processes; Tiberiu Colosi,Mihail-Ioan Abrudean,Vlad Muresan Book 2013 Springer International

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Numerical Simulation Using Partial Differential Equations, for Propagation and Control in Discontinutput signal ..(., .). These signals can be effects of the different energy forms, for example: temperatures, radiations, flows, levels, chemical reaction rates. Every zone is considered homogenous, but at the separation limit between them, the propagation parameters are being discontinuously modifie
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Truncated Errors of the Operator Matrix Mpdxrivatives operated on the state vector (.) in accordance with all the independent variables (p, q, r) or (p, q) or (p), except for the time (t). The minimal condition for choosing (N) can correspond to (4 ≤ N ≤ 5), but N = 6 has lead to good results for many examples ran on the computer.
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Time-Varying Linear Processes associated with algebraic equations of the form (.), with the observation that the elements of the four matrices can be in a complete form, or in an incomplete one—continuous functions of time, respectively: . = .(.), . = .(.), . = .(.) and . = .(.). 
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