Analysis of the Parameter-Dependent Multiplicity of Steady-State Profiles of a Strongly Nonlinear Mathematical Model Arising From the Chemical Reactor Theory
Subject Areas : International Journal of Industrial Mathematics
محمد سعید باریکبین
1
,
مهدی امام جمعه
2
,
محمد نباتی
3
1 - Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.
2 - Department of Mathematics, Golpayegan University of Technology, Golpayegan, Iran.
3 - Department of Basic Sciences, Abadan Faculty of Petroleum
engineering, Petroleum University of Technology, Abadan, Iran
Keywords: Iterative technique, Multiple solutions, Convergence, Adiabatic tubular chemical reactor, Reproducing Kernel Hilbert Space, Strongly nonlinear problem,
Abstract :
In this paper, we study the uniqueness and multiplicity of the solutions of a strongly nonlinear mathematical model arising from chemical reactor theory. The analysis is based on the reproducing kernel Hilbert space method. The main aim of this work is to find how much information can be predicted using numerical computations. The dependence of the number of solutions on the parameters of the model is also studied. Furthermore, the analytical approximations of all branches of solutions can be calculated by the proposed method. The convergence of the proposed method is proved. Some numerical simulations are presented.
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