Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/99594
Title: A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions
Authors: Sun, Zhi-zhong
Wu, Xiaonan
Zhang, Jiwei
Wang, Desheng
Issue Date: 2011
Source: Sun, Z.-z., Wu, X., Zhang, J.,& Wang, D. (2012). A linearized difference scheme for semilinear parabolic equations with nonlinear absorbing boundary conditions. Applied Mathematics and Computation, 218(9), 5187-5201.
Series/Report no.: Applied mathematics and computation
Abstract: 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 tends to infinity, the time step size will be smaller and smaller. Furthermore, the solvability, stability and convergence of the difference scheme are proved by the energy method. Numerical experiments are also given to demonstrate the theoretical second order convergence both in time and in space in L∞-norm.
URI: https://hdl.handle.net/10356/99594
http://hdl.handle.net/10220/12557
ISSN: 0096-3003
DOI: http://dx.doi.org/10.1016/j.amc.2011.10.083
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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