The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether

Zabihi, Fatemeh

doi:10.22034/cmde.2024.55413.2304

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	The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether
Computational Methods for Differential Equations
مقاله 16، دوره 12، شماره 4، دی 2024، صفحه 857-865 اصل مقاله (396.96 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.55413.2304
نویسنده
Fatemeh Zabihi^*
Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, 87317-51167, Iran.
چکیده
In this paper, the Sinc-collocation method is applied to solve a system of coupled nonlinear differential equations that report the chemical reaction of carbon dioxide CO2 and phenyl glycidyl ether in solution. The model has Dirichlet and Neumann boundary conditions. The given scheme has transformed this problem into some algebraic equations. The approach is quite simple to handle and the new numerical solutions are compared with some known solutions, which shows that the new technique is accurate and efficient.
کلیدواژه‌ها
Sinc functions؛ Collocation method؛ Carbon dioxide؛ Phenyl glycidyl ether؛ Boundary value problem

مراجع
[1] M. ALJawary, R. Raham, and G. Radhi, An iterative method for calculating carbon dioxide absorbed into phenyl glycidyl ether, J. Math. Comput. Sci., 6 (2016), 620 632. [2] M. ALJawary and G. Radhi, The variational iteration method for calculating carbon dioxide absorbed into phenyl glycidyl ether, IOSR J. Math., 11 (2015), 99105. [3] Y. S. Choe, K. J. Oh, M. C. Kim, and S. W. Park, Chemical absorption of carbon dioxide into phenyl glycidyl ether solution containing THACPMS41 catalyst, Korean J. Chem. Eng., 27 (2010), 18681875. [4] Y. S. Choe, S. W. Park, D. W. Park, K. J. Oh, and S. S. Kim, Reaction kinetics of carbon dioxide with phenyl glycidyl ether by TEACPMS41 catalyst, J. Japon Petrol. Inst., 53 (2010), 160166. [5] J. S. Duan, R. Rach, and A. M. Wazwaz, Steadystate concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method, J. Math. Chem., 53 (2015), 10541067. [6] J. Lund and K. Bowers, Sinc methods for quadrature and differential equations, SIAM, Philadelphia, 1992. [7] S. Muthukaruppan, I. Krishnaperumal, and R. Lakshmanan, Theoretical analysis of mass transfer with chemical reaction using absorption of carbon dioxide into phenyl glycidyl ether solution, Appl. Math., 3 (2012), 1179-1186. [8] M. Nabati and M. Jalalvand, Solution of Troesch’s problem through double exponential Sinc-Galerkin method, Comput. Meth. Diff. Eqs., 5 (2017), 141-157. [9] K. Parand, M. Dehghan, and A. Pirkhedri, Sinc-collocation method for the Blasius equation, Physics Letters A, 373 (2009), 4060-4065. [10] J. Rashidinia and M. Nabatib, Sinc-collocation solution for nonlinear two-point boundary value problems arising in chemical reactor theory, Malaya Journal of Matematik, 4 (2013), 97106. [11] A. Saadatmandi and S. Fayyaz, Numerical study of oxygen and carbon substrate concentrations in excess sludge production using Sinc-collocation method, MATCH Commun. Math. Comput. Chem., 80 (2018), 355-368. [12] R. Singha and A. M. Wazwaz, Steadystate concentrations of carbon dioxide absorbed into phenyl glycidyl ether: an optimal homotopy analysis method, MATCH Commun. Math. Comput. Chem., 81 (2019), 801-812. [13] F. Stenger, Numerical methods based on Sinc and analytic functions, Springer, New York, 1993. [14] K. Saranya, V. Mohan, and L. Rajendran, Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by residual method, J. Math. Chem., 58 (2020), 12301246. [15] I. Talib, A. Raza, A. Atangana and M. B. Riaz, Numerical study of multi-order fractional differential equations with constant and variable coefficients, J. Taibah Uni. Sci., 16(1) (2022), 608-620. [16] I. Talib, Z. A. Noor, A. Hammouch, and H. Khalil, Compatibility of the Paraskevopouloss algorithm with operational matrices of VietaLucas polynomials and applications, Math. Comput. Simul., 202 (2022), 442-463. [17] I. Talib and M. Bohner, Numerical study of generalized modified Caputo fractional differential equations, Int. J. Comput. Math., 100(1) (2022), 153-176. [18] I. Talib, M. Nur Alam, D. Baleanu, and D. Zaidi, A decomposition algorithm coupled with operational matrices approach with applications to fractional differential equations, Thermal Science, 25(2) (2021), 449455. [19] C. Tunc and O. Tunc, A note on certain qualitative properties of a second order linear differential system, Appl. Math. Inf. Sci., 9(2) (2015), 953956. [20] C. Tunc and O. Tunc, Qualitative analysis for a variable delay system of differential equations of second order, J. Taibah Uni. Sci., 13(1) (2019), 468477. [21] A. Salim, F. Mesri, M. Benchohra, and C. Tunc, Controllability of second order semilinear random differential equations in Frchet spaces, Mediterr. J. Math., 20(48) (2023), 1-12. [22] C. Tunc and A. Khalili Golmankhaneh, On stability of a class of second alpha-order fractal differential equations, AIMS Math., 5(3) (2020), 21262142. [23] F. Zabihi, Chebyshev finite difference method for steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether, MATCH Commun. Math. Comput. Chem., 84 (2020), 131-140.
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The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether