A novel method for the space and time fractional Bloch-Torrey equations | Zendy

Esra Karataş Akgül | Zendy

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A novel method for the space and time fractional Bloch-Torrey equations

Author(s) -

Esra Karataş Akgül

Publication year - 2017

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci170715293a

Subject(s) - kernel (algebra) , series (stratigraphy) , space (punctuation) , mathematics , bloch equations , fractional calculus , mathematical analysis , computer science , physics , pure mathematics , quantum mechanics , paleontology , biology , operating system

Reproducing kernel technique was implemented to solve the fractional Bloch-Torrey equations. This efficient technique was used via some useful reproducing kernel functions, to obtain approximations to the exact solution in form of series solutions. A numerical example has been presented to prove efficiency of developed technique.

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