Numerical algorithm for parabolic problems with non-classical conditions |
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| Authors: | Yongfang Zhou Minggen Cui Yingzhen Lin |
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| Affiliation: | aDepartment of Mathematics, Harbin Institute of Technology, Harbin, HeiLongJiang, 150001, PR China;bDepartment of Mathematics and Mechanics, Heilongjiang Institute of Science and Technology, Harbin, HeiLongJiang, 150027, PR China |
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| Abstract: | 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. |
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| Keywords: | Parabolic problems Non-classical conditions Reproducing kernel space |
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