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Nested meshes for numerical approximation of space fractional differential equations

  • Numerical Computation
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Abstract.

In this study, we use the nested meshes to approximate the space fractional differential equations. Two approaches are used to approximate the second order derivative. It is obvious that the nested meshes method is more effective in solving large scale problems. Matrix building and how to introduce the boundary condition are both presented. Two examples are given to show the effects of the number of subdivisions in each nested interval on the accuracy in different cases of various domain scales.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hohai University, Nanjing, 210098, PR China

    X.C. Li & W. Chen

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  1. X.C. Li
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  2. W. Chen
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Correspondence to X.C. Li or W. Chen.

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Li, X., Chen, W. Nested meshes for numerical approximation of space fractional differential equations. Eur. Phys. J. Spec. Top. 193, 221–228 (2011). https://doi.org/10.1140/epjst/e2011-01393-3

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  • DOI: https://doi.org/10.1140/epjst/e2011-01393-3

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