kth Order convergence for semilinear elliptic boundary value problems

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摘要

The method of quasilinearization coupled with the method of upper and lower solutions, is applied to the semilinear elliptic boundary value problems. At the same time, the result of kth convergence for the semilinear boundary value problems is obtained via the idea of Taylors approximation.

论文关键词:Semilinear elliptic problems,Quasilinearization,kth Order convergence

论文评审过程:Available online 9 March 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.02.049