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 (Mpdx) associated with Taylor Series. By including a process modeled by a partial differential equation of second order with two independent variables, this presents (Mpdx) method with approximate solutions, which are needed to ensure the start of the calculations and to check the results.