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- W2321330347 abstract "Abstract The steady state heat balance equation in Frank-Kamenetskii model is one of the basic models of spontaneous combustion. For a non-uniform temperature exothermic reaction system met the Arrhenius law, the reaction heat term of the heat balance equation can be described by a simple nonlinear term. The simplified spontaneous theoretical model equation is a typical bifurcation problem. The governing equation of bifurcation points is generally Nonlinear Ill-posed Equation. To solve this kind of equation, usually we divide it into three steps to complete: regularization, difference and iterative. Homotopy-Newton hybrid method is a typical direct method to solve it. However, this direct method for a specific problem, deterministic and convergence of solutions are not guaranteed. In this paper, a kind of effective indirect method is introduced. This shooting method by control parameter can effectively improve the convergence." @default.
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- W2321330347 date "2016-01-01" @default.
- W2321330347 modified "2023-09-26" @default.
- W2321330347 title "Indirect Method of the Critical Parameters of Frank-Kamenetskii Equations in Spontaneous Combustion Theory" @default.
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- W2321330347 doi "https://doi.org/10.1016/j.proeng.2016.01.099" @default.
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