Theoretical Preparatories Regarding Modelling and Numerical Simulation of Some Distributed Parameters Processes

This paper presents a possible extension and the use of Taylor series for the numerical modelling and simulation of some processes which can be described in terms of second order partial derivative equations which depend on four independent variable [1],[2]. These processes may be experienced in the thermoenergetical industry as well as in the field of pollutants dispersion. The independet variable (t) represents time, with respect to which the numerical integration is made, and (p), (q), (r) are usually considered spatial coordinates. All (a....) coefficients are constants and φ(t,p,q,r), y(t,p,q,r) are considered to respect all continuity conditions in Cauchy sens.