Author/Authors :
El hajaji, Abdelmajid University of Chouaib Doukkali - El jadida, Morocco , Barje, Nadia University of Sultan Moulay Slimane - Beni-Mellal, Morocco , Serghini, Abdelhafid University Mohammed Premier - Oujda, Morocco , Hilal, Khalid University of Sultan Moulay Slimane - Beni-Mellal, Morocco , Mermri, El Bekkaye Department of Mathematics and Computer Science - FS, University Mohammed Premier - Oujda, Morocco
Abstract :
In this paper, we develop a quadratic spline collocation method for integrating the nonlinear partial
differential equations PDEs of a plug
ow reactor model. The method is proposed in order to be used
for the operation of control design and/or numerical simulations. We rst present the Crank-Nicolson
method to temporally discretize the state variable. Then, we develop and analyze the proposed spline
collocation method for the spatial discretization. The design of the collocation method is interpreted
as one order error convergent. This scheme is applied on some test examples, the numerical results
illustrate the effciency of the method and conrm the theoretical behavior of the rates of convergence.
Keywords :
Distributed parameter systems , Plus ow reactors , Perturbed systems , Spline collocation method
