Process modeling and simulation of distributed parameter using (Mpdx) method with approximating solutions

This paper presents a control system where the controlled plant is a distributed parameter process. Numerical simulation of the control system is accomplished using the method of Matrix of Partial Derivatives of the State Vector (
^M
pdx) associated with Taylor Series. By including a process modeled by a partial differential equation of second order with two independent variables, this presents (M
pdx
) method with approximate solutions, which are needed to ensure the start of the calculations and to check the results.