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Calculation of Combustion Products by the New Iteration Method of Non-linear Equations
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作者 Paramust Juntarakod Thanakom Soontomchainacksaeng 《Journal of Mathematics and System Science》 2013年第1期15-25,共11页
For a specific combustion problem involving calculations of several species at the equilibrium state, it is simpler to write a general computer program and calculate the combustion concentration. Original work describ... For a specific combustion problem involving calculations of several species at the equilibrium state, it is simpler to write a general computer program and calculate the combustion concentration. Original work describes, an adaptation of Newton-Raphson method was used for solving the highly nonlinear system of equations describing the formation of equilibrium products in reacting of fuel-additive-air mixtures. This study also shows what possible of the results. In this paper, to be present the efficient numerical algorithms for. solving the combustion problem, to be used nonlinear equations based on the iteration method and high order of the Taylor series. The modified Adomian decomposition method was applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms. Comparisons of results by the new Matlab routines and previous routines, the result data indicate that the new Matlab routines are reliable, typical deviations from previous results are less than 0.05%. 展开更多
关键词 Non-linear equation Newton-Raphson method Adomian decomposition method Householder's iteration method highorder iteration method chemical equilibrium fuel and combustion products.
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