Alexandria Engineering Journal (Aug 2020)

Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid

  • Guanhong Zhang,
  • Peter Brown,
  • Odbal

Journal volume & issue
Vol. 59, no. 4
pp. 2777 – 2784

Abstract

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To improve the efficiency of resource sharing among spatial information, firstly, the mathematical characteristics of fractional order ordinary differential equations are analyzed. By the numerical method, the fractional operator is discretized and approximated to construct the linear differential equation between fractions. Secondly, the fractal spatial model and data grid mining algorithm are designed based on fuzzy mathematical control rules. Finally, the correlation performance of data mining algorithm is tested based on the massive spatial data of network teaching, and the self-tuning of fuzzy fractional order system parameters is simulated. The results show that the algorithm in this research can effectively mine and utilize spatial information when confronted with a large amount of network teaching data. After a long time running, it shows good robustness and avoids the fearless waste of time and space resources. The data mining algorithm based on grid design in this research has a better mining effect on information resources, provides a new solution and method for data management and collaborative transmission in many fields, and plays a positive role in promoting the development of spatial information related fields.

Keywords