Solve thermal explosion model by central difference and newton iteration method

2015/01/27 by Xijian Wang, Wang, Xijian, Tonghua Zeng +1
Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1501.06675

openalex publication_date 2015/01/27 · openalex created_date 2022/10/30 · openalex updated_date 2026/07/28

Abstract

First we present the general equation form of a thermal explosion in a vessel with boundary values, later use central difference method and Newton iteration method to solve the relevant partial differential equations in one-dimensional and two-dimensional forms, finally we use numerical experiments to verify the order of convergence of the central difference scheme and provide the experiment results.

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