New analytical approximate solution of the generalised temperature integral for kinetic reactions

2020 ◽  
Vol 36 (15) ◽  
pp. 1655-1662
Author(s):  
Xuan-Wei Lei ◽  
Jun-Biao Liu ◽  
Yue Wang ◽  
Rong-Bo Yang ◽  
Xue-Hui Zhang ◽  
...  
Keyword(s):  
Approximate Solution ◽  
Temperature Integral ◽  
Analytical Approximate Solution

The analytical approximate solution of the 2D thermal displacement

1996 ◽  
Vol 5 (3) ◽  
pp. 168-174
Author(s):  
Chu-Quan Guan ◽  
Zeng-Yuan Guo ◽  
De-Yu Li
Keyword(s):  
Approximate Solution ◽  
Thermal Displacement ◽  
Analytical Approximate Solution

scholarly journals An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
U. Filobello-Nino ◽  
H. Vazquez-Leal ◽  
R. Castaneda-Sheissa ◽  
V. M. Jimenez-Fernandez ◽  
A. L. Herrera-May ◽  
...  
Keyword(s):  
Approximate Solution ◽  
Steady State ◽  
Perturbation Method ◽  
Numerical Solutions ◽  
Absolute Error ◽  
Quasi Steady State ◽  
General Behaviour ◽  
Analytical Approximate Solution

This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the comparison of Figures and absolute error values, between approximate and numerical solutions, it is shown that the obtained solutions are accurate, and therefore, they explain the general behaviour of the Michaelis-Menten mechanism.

An optimal iteration method with application to the Thomas-Fermi equation

Open Physics ◽  
2011 ◽  
Vol 9 (3) ◽  
Author(s):  
Vasile Marinca ◽  
Nicolae Herişanu
Keyword(s):  
Approximate Solution ◽  
Approximate Method ◽  
Iteration Method ◽  
Nonlinear Problems ◽  
Analytical Approximate Solution ◽  
Thomas Fermi ◽  
Strongly Nonlinear ◽  
Good Agreement

AbstractThe aim of this paper is to introduce a new approximate method, namely the Optimal Parametric Iteration Method (OPIM) to provide an analytical approximate solution to Thomas-Fermi equation. This new iteration approach provides us with a convenient way to optimally control the convergence of the approximate solution. A good agreement between the obtained solution and some well-known results has been demonstrated. The proposed technique can be easily applied to handle other strongly nonlinear problems.

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