Fractional variational integrators for fractional variational problems |
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| Authors: | Dongling Wang Aiguo Xiao |
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| Institution: | School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, PR China |
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| Abstract: | In this paper, the fractional variational integrators for a class of fractional variational problems are developed. The fractional discrete Euler-Lagrange equation is obtained. Based on the Grünwald-Letnikov method and Diethelm’s fractional backward differences, some fractional variational integrators are presented and the fractional variational errors are discussed. Some numerical examples are presented to illustrate these results. |
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| Keywords: | Fractional variational integrators Fractional variational problems Fractional discrete Euler-Lagrange equation |
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