Numerical algorithm for parabolic problems with non-classical conditions

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...

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Vydáno v:Journal of computational and applied mathematics Ročník 230; číslo 2; s. 770 - 780
Hlavní autoři: Zhou, Yongfang, Cui, Minggen, Lin, Yingzhen
Médium: Journal Article
Jazyk:angličtina
Vydáno: Kidlington Elsevier B.V 15.08.2009
Elsevier
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ISSN:0377-0427, 1879-1778
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
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content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.01.012