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Four computational approaches for solving a class of boundary value problems arising in chemical reactor industry

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  • Sahlan, M. Nosrati

Abstract

In this work the performance of four new and different approaches are presented for numerical solution of some nonlinear boundary value problems which arise in modelling a tabular adiabatic chemical reactor. Quasi-linearization and converting differential equations to integral equation techniques and derivative and integration operational matrices of Cubic B-spline wavelets via some projection methods are applied to reducing the nonlinear problem to some algebraic system. For study of effect of involved parameters in main problem and for showing the accuracy and efficiency of the introduced methods some cases of main problem are given and findings are compared with the results of alternative methods for numerical solving of this class of equations.

Suggested Citation

  • Sahlan, M. Nosrati, 2019. "Four computational approaches for solving a class of boundary value problems arising in chemical reactor industry," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 253-268.
    • Handle: RePEc:eee:apmaco:v:355:y:2019:i:c:p:253-268
    DOI: 10.1016/j.amc.2019.01.017
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    References listed on IDEAS

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    1. Nosrati Sahlan, M. & Hashemizadeh, E., 2015. "Wavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiology," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 260-269.
    2. S. Natesan & N. Ramanujam, 1998. "Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory," Journal of Optimization Theory and Applications, Springer, vol. 97(2), pages 455-470, May.
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