Numerical algorithm for parabolic problems with non-classical conditions

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摘要

The parabolic problems with non-classical conditions are discussed in a reproducing kernel space in this paper. A reproducing kernel space is constructed, in which the non-classical conditions of the parabolic problems are satisfied. Based on the reproducing kernel space, a new technique for solving the non-classical parabolic problems is presented. Some examples are displayed to demonstrate the validity and applicability of the proposed method.

论文关键词:Parabolic problems,Non-classical conditions,Reproducing kernel space

论文评审过程:Received 27 July 2008, Revised 14 January 2009, Available online 23 January 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.01.012