The Proceedings of Mechanical Engineering Congress, Japan
Online ISSN : 2424-2667
ISSN-L : 2424-2667
2013
Session ID : G011025
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G011025 The approximating precision of fractional derivatives using the SPH method
Hiroyuki KISU, Guiming RONG, Yoshihiro KONDO, Noriaki KAWASAKI, Keisuke OGUSU
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Keywords: Smoothed particle hydrodynamics (SPH), Particle Method, Diffusion, Finite-difference Method, Accuracy, Fractional derivatives
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Abstract
This study is a basic research for introducing the SPH as a solution to the fractional differential equation, because the SPH method has the flexibility in the boundary representation. The approximate performance of SPH is compared with that of the difference method in this problem and several conclusions are clarified.
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© 2013 The Japan Society of Mechanical Engineers
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