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Hooman Fatoorehchi published an article in December 2017.
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(2012 - 2017)
(2012 - 2017)
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Article 0 Reads 0 Citations The extended Laplace transform method for mathematical analysis of the Thomas–Fermi equation Published: 01 December 2017
Chinese Journal of Physics, doi: 10.1016/j.cjph.2017.10.001
Article 0 Reads 1 Citation Explicit Frost-Kalkwarf type equations for calculation of vapour pressure of liquids from triple to critical point by th... Published: 29 May 2017
The Canadian Journal of Chemical Engineering, doi: 10.1002/cjce.22853
The general form of explicit, analytical solution of the Frost-Kalkwarf equation was developed for the first time by means of the Adomian decomposition method as a reliable mathematical tool. The accuracy of the obtained formulas was further improved by applying the diagonal Padé approximants. We have demonstrated that our developed formulas are at least 30 times faster than the original Frost-Kalkwarf equation in computation of vapour pressures and are highly accurate with an overall absolute relative deviation of 2.25 % for 88 different substances over 26 400 experimental data points from triple to critical point temperatures. As another unique advantage, our formulas avoid any divergent behaviour in using iterative methods unlike the implicit Frost-Kalkwarf equation. Based on the conducted statistical analyses, our formulas have excellent predictability of vapour pressure values with a probability of 90.33 % for absolute relative errors of less than 5 %.
Article 0 Reads 0 Citations A Practical Method for Computation of Laplace Inverses by Post–Widder’s Formula Published: 23 May 2017
National Academy Science Letters, doi: 10.1007/s40009-017-0552-7
Article 0 Reads 0 Citations Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact ... Published: 01 February 2017
International Journal of Biomathematics, doi: 10.1142/S1793524517500255
A nonlinear model representing oxygen diffusion accompanied by the Michaelis–Menten consumption kinetics inside a spherical cell is solved analytically by the differential transform method (DTM) and the modified Adomian decomposition method (MADM). A perfect agreement between the literature data and the results from the proposed solutions is found. The advantages and drawbacks of the two approaches are discussed and their efficiencies are compared through a CPU-time analysis.
Article 0 Reads 0 Citations Effect of dispersed hydrophilic silicon dioxide nanoparticles on batch adsorption of benzoic acid from aqueous solution ... Published: 01 October 2016
Journal of Applied Research and Technology, doi: 10.1016/j.jart.2016.08.005
Article 0 Reads 0 Citations Erratum to “Performance assessment of Tao–Mason equation of state: Results for vapor–liquid equilibrium properties [J. I... Published: 01 March 2016
Journal of Industrial and Engineering Chemistry, doi: 10.1016/j.jiec.2016.03.033
We have noticed some errors in the equations presented in [J. Ind. Eng. Chem. 17 (4) (2011) 667–674] for calculation of the dimensionless quantities α(T)/VB and b(T)/VB from the Lennard-Jones (12,6) potential.