N. Barje, A. El hajaji , A. Serghini, K. Hilal ,E.B. Mermri
Abdelhafid Serghini, A cubic spline collocation method for integrating a class of chemical reactor equations(2018)Journal of Chemical Engineering And Bioanalytical Chemistry 2(1)
In this paper, the cubic spline collocation method is implemented to find the numerical solution of the nonlinear partial differential equations PDEs of a plug flow reactor model. The method is proposed in order to be used for the operation of control design and/or numerical simulations. We use the horizontal method of lines to discretize the temporal variable and the spatial variable by means of a Crank-Nicolson, and a cubic spline collocation method on meshes, respectively. The method is shown to be unconditionally stable and second order accurate with respect to both the variables. Numerical results are presented and compared with other collocation methods given in the literature.
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A. El hajaji, N. Barje, A. Serghini, K. Hilal, E.B. Mermri, A spline collocation method for integrating a class of chemical reactor equations, International Journal of Nonlinear Analysis and Applications(IJNAA) Volume 8, Issue 1, Spring and Summer 2017, Page 69-80.