A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions

A novel three level linearized difference scheme is proposed for the semilinear parabolic equation with nonlinear absorbing boundary conditions. The solution of this problem will blow up in finite time. Hence this difference scheme is coupled with an adaptive time step size, i.e., when the solution...

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Bibliographic Details
Main Authors: Sun, Zhi-zhong, Wu, Xiaonan, Zhang, Jiwei, Wang, Desheng
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/99594
http://hdl.handle.net/10220/12557
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Institution: Nanyang Technological University
Language: English