On Application of the Newton-Raphson’s Fixed Point Iterative Method in the Solution of Chemical Equilibrum Problems

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Eziokwu C. Emmanuel

Abstract

In this work, we discussed the solution of a chemical equilibrium problem aiming to obtain it’s fixed point. To do this, the preliminary and basic ideas introducing the fixed point theory were X-rayed and the Newton-Raphson’s iterative method for solving the system of non-linear equations discussed; then, the problem of the chemical equilibrium involving principal reactions in the production of synthesis gas by partial oxidation of methane with oxygen was stated. Using a computer program, the O reactant ratio that produces an adiabatic equilibrium temperature was obtained by developing a system of seven simultaneous non-linear equations that have the form which we now solve using the Newton-Raphson’s method described in section 2.2 and hence the desired fixed point of the chemical equilibrium problem.

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How to Cite
Emmanuel, E. C. (2023). On Application of the Newton-Raphson’s Fixed Point Iterative Method in the Solution of Chemical Equilibrum Problems. Asian Journal of Mathematical Sciences(AJMS), 6(3). https://doi.org/10.22377/ajms.v6i3.443
Section
Research Article

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