Spatial-temporal difference equations and their application in spatial-temporal data model especially for big data

Abstract

Existing spatial-temporal data models are represented in descriptive language. This paper proposes spatial-temporal difference equations which applies the spatial-temporal features to the difference equations and applies difference equations to the representation of spatial-temporal data model, making the spatial-temporal data model more formal, and finds through comparison that the storage efficiency of spatial-temporal data model based on difference equations is higher than that of the existing spatial-temporal data model. Spatial-temporal difference equations proposed in this paper can represent all types of spatial-temporal data models and store spatial-temporal data with lower storage capacity and space complexity, and thus spatial-temporal difference equations proposed in this paper are a kind of model and method exceedingly beneficial to representation and storage of spatial-temporal data, especially to those of spatial-temporal big data.

Keywords:

• Spatial-temporal
• difference equations
• data model
• big data

AMS Subject Classifications:

• F1.1
• F4.3

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This research was supported by Major Project of Guangdong Province [grant number 2014B090901064]; Project of Guangdong Province [grant number 2015A010103013]; Major Project of National Social Science Fund [grant number 14ZDB101]; National Natural Science Foundation of China [grant number 61105133].