Solving non-local fractical heat equations based on the reproducing kernel method

In this paper, a numerical method is proposed for 1-D fractional heat equations subject to non-local boundary conditions. The reproducing kernel satisfying nonlocal conditions is constructed and reproducing kernel theory is applied to solve the considered problem. A numerical example is given to sho...

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Published inThermal science Vol. 20; no. suppl. 3; pp. 711 - 716
Main Authors Li, Xiuying, Wu, Boying
Format Journal Article
LanguageEnglish
Published Belgrade Society of Thermal Engineers of Serbia 2016
Subjects
Boundary conditions
Kernels
Mathematical analysis
Numerical methods
Thermodynamics
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ISSN0354-9836
2334-7163
DOI10.2298/TSCI16S3711L

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Summary:In this paper, a numerical method is proposed for 1-D fractional heat equations subject to non-local boundary conditions. The reproducing kernel satisfying nonlocal conditions is constructed and reproducing kernel theory is applied to solve the considered problem. A numerical example is given to show the effectiveness of the method. nema
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ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI16S3711L