Approximate solutions to a new class of nonlinear diffusion problems

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摘要

In this paper it is considered a new class of nonlinear differential equations that arises in the study of some diffusion processes. The authors present an existence and uniqueness result by constructing a sequence of approximate solutions. Theoretical and numerical aspects are considered.

论文关键词:65L05,76R50,Diffusion process,Nonlinear equation,Approximate solution,Upper and lower solution

论文评审过程:Received 3 October 1998, Revised 8 March 1999, Available online 30 July 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00112-0