Document Type : Research Paper
Authors
Faculty of Chemical, Petroleum, and Gas Engineering, Semnan University, Semnan, Iran
Abstract
Graphical Abstract
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[1] Li, Z., et al. (2025). Advanced mechanisms and applications of microwave-assisted synthesis of carbon-based materials: A brief review. Nanoscale Advances.
https://doi.org/10.1039/d4na00701h
[2] Palma, V., et al. (2020). Microwaves and heterogeneous catalysis: A review on selected catalytic processes. Catalysts, 10(2), 246.
[3] Shojae, K., & Khoshandam, B. (2021). A novel two-step fixed bed reactor for the reduction of cobalt oxide under microwave heating. Materials Science and Engineering: B, 267, 115085.
https://doi.org/10.1016/j.mseb.2021.115085
[4] Khan, J. B., et al. (2024). Microwave synthesis of high-entropy alloy catalysts on graphene oxide sheets for oxygen reduction and evolution reactions. International Journal of Hydrogen Energy, 53, 999-1008.
https://doi.org/10.1016/j.ijhydene.2023.12.024
[5] Veronesi, P., et al. (2015). Microwave-assisted preparation of high entropy alloys. Technologies, 3, 182-197.
https://www.mdpi.com/2227-7080/3/4/182
[6] Loharkar, P. K., Ingle, A., & Jhavar, S. (2019). Parametric review of microwave-based materials processing and its applications. Journal of Materials Research and Technology, 8(3), 3306-3326.
https://doi.org/10.1016/j.jmrt.2019.04.004
[7] Li, J., et al. (2021). Review of microwave-based treatments of biomass gasification tar. Renewable and Sustainable Energy Reviews, 150, 111510.
https://doi.org/10.1016/j.rser.2021.111510
[8] Jafari, H., & Tajadodi, H. (2016). Electro-spun organic nanofibers elaboration process investigations using BPs operational matrices. Iranian Journal of Mathematical Chemistry, 7(1), 19-27.
https://doi.org/10.22052/ijmc.2016.11866
[9] Chen, L., et al. (2017). A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Journal of Computational and Applied Mathematics, 315, 195-207.
https://doi.org/10.1016/j.cam.2016.10.030
[10] Jayakumar, J., & Ramanujam, N. (1994). A numerical method for singular perturbation problems arising in chemical reactor theory. Computers & Mathematics with Applications, 27(5), 83-99.
https://doi.org/10.1016/0898-1221(94)90078-7
[11] Aksoy, Y., & Pakdemirli, M. (2010). New perturbation–iteration solutions for Bratu-type equations. Computers & Mathematics with Applications, 59(8), 2802-2808.
https://doi.org/10.1016/j.camwa.2010.01.050
[12] Öztürk, Y., et al. (2013). A collocation method for solving fractional Riccati differential equation. Journal of Applied Mathematics, 598083.
https://doi.org/10.1155/2013/598083
[13] He, J.-H. (2000). A coupling method of a homotopy technique and a perturbation technique for non-linear problems. International Journal of Non-Linear Mechanics, 35(1), 37-43.
https://doi.org/10.1016/S0020-7462(98)00085-7
[14] Binous, H., & Bellagi, A. (2016). Orthogonal collocation methods using Mathematica© in the graduate chemical engineering curriculum. Computer Applications in Engineering Education, 24(1), 101-113.
https://onlinelibrary.wiley.com/doi/abs/10.1002/cae.21676
[15] Binous, H., Shaikh, A. A., & Bellagi, A. (2015). Chebyshev orthogonal collocation technique to solve transport phenomena problems with Matlab® and Mathematica. Computer Applications in Engineering Education, 23(3), 422-431.
https://onlinelibrary.wiley.com/doi/10.1002/cae.21612
[16] Housam, B., et al. (2016). Numerical elucidation of three-dimensional problems in the chemical engineering graduate curriculum: Orthogonal collocation. Computer Applications in Engineering Education, 24.
https://onlinelibrary.wiley.com/doi/10.1002/cae.21756
[17] Abdelkawy, M., & Alyami, S. (2021). Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional. Chaos, Solitons & Fractals, 151, 111279.
https://doi.org/10.1016/j.chaos.2021.111279
[18] Olatunde, A. O., Olafadehan, O. A., & Usman, M. A. (2020). Computation of effectiveness factor for methanol steam reforming over Cu/ZnO/Al2O3 catalyst pellet. Alexandria Engineering Journal, 10(1), 35-47.
https://doi.org/10.1007/s13203-020-00244-w
[19] Skoneczny, S., & Cioch, M. (2018). Modeling of continuous-flow bioreactors with a biofilm with the use of orthogonal collocation on finite elements. Chemical Engineering Science, 205(7), 929-946.
https://www.tandfonline.com/doi/full/10.1080/00986445.2018.1423557
[20] Nategh, M., Vaferi, B., & Riazi, M. (2018). Orthogonal collocation method for solving the diffusivity equation: Application on dual porosity reservoirs with constant pressure outer boundary. Journal of Energy Resources Technology, 141(4).
[21] Binous, H., Kaddeche, S., & Bellagi, A. (2017). Solution of six chemical engineering problems using the Chebyshev orthogonal collocation technique. Chemical Engineering Education, 25(4), 594-607.
https://onlinelibrary.wiley.com/doi/abs/10.1002/cae.21823
[22] Athira, P., et al. (2018). Non-linear convection in chemically reacting fluid with an induced magnetic field across a vertical porous plate in the presence of heat source/sink. In Defect and Diffusion Forum (Vol. 389, pp. 55-66). Trans Tech Publ.
https://www.scientific.net/DDF.387.428
[23] He, J.-H., & El-Dib, Y. O. (2020). Homotopy perturbation method for Fangzhu oscillator. Journal of Mathematical Chemistry, 58(10), 2245-2253.
https://www.scientific.net/DDF.387.428 (Note: Duplicate URL; kept as given.)
[24] Yavuz, M. (2017). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 8(1), 1-7.
https://ijocta.org/index.php/files/article/view/540
https://doi.org/10.1016/j.cep.2021.108765
[26] Moghani, M., Beiki, H., & Shojae, K. (2024). Investigating the efficiency of the microwave heating process for the carbothermic synthesis of cobalt/nickel alloys. Arabian Journal of Chemistry, 17(2), 105544.
[27] Bustnes, J. A., Sichen, D., & Seetharaman, S. (1995). Kinetic studies of reduction of CoO and CoWO4 by hydrogen. Metallurgical and Materials Transactions B, 26(3), 547-552.
https://doi.org/10.1007/BF02653872
[28] Javad Nodehi, B. K. (2018). Pyrolysis of glycerol for syngas production (Master's thesis? Unclear). Faculty of Chemical, Petroleum and Gas Engineering, Semnan University.