Abstract
In the Internet age, social needs have become more diverse. The private sector has achieved great success in integrating resources to provide services to customers thanks to technological breakthroughs such as mobile Internet and big data, while the public sector has become even more dwarfed. The public sector urgently needs new theoretical support to integrate administrative resources more effectively, so as to provide the public with one-stop, holistic and seamless services as a whole. The “holistic governance” theory effectively responded to the abovementioned problems and gradually condensed the consensus of the academic and practical circles and became the most influential theory. The method of mathematical modeling is used to combine the improved wavelet domain Wiener filter and the comprehensive model of partial differential equations. This paper proposes an image recognition algorithm based on partial differential equations and wavelet transform. The algorithm uses weight coefficients to organically combine high-order partial differential equation models, retains the advantages of the second- and fourth-order partial differential recognition models, effectively improves the ability to maintain image edge detail information, and achieves better recognition results. This article starts with the description of the fragmentation of a street’s grassroots governance and sorts out the process of implementing overall governance with the “big linkage mechanism” as the main carrier. Due to the limitations of research ability and objective conditions, this article intercepts the “cross-section” of the big linkage mechanism in a certain street to demonstrate it and analyzes this “cross-section” more thoroughly. The experimental results of the data show that the image recognition algorithm based on partial differential equations and wavelet transform is effective and practical in the intelligent linkage system of the government urban public management.
Highlights
The partial differential equation is a classic theory in mathematics, and its origin dates back to the 18th century
It is difficult for us to obtain analytical solutions for general differential equations, so we adopt the method of discretization of continuous problems, and through numerical analysis methods, we obtain its numerical solutions
The focus of the work of processing images with partial differential equations is on the establishment of image description models, and subsequent solutions are not so difficult [1, 2]
Summary
The partial differential equation is a classic theory in mathematics, and its origin dates back to the 18th century. The method of processing images by partial differential equations is continuous and integral. Use mathematical models to combine the improved wavelet domain Wiener filtering with the P-M&LLT comprehensive equation. The large linkage mechanism of X Street achieves full coverage of the communities and streets in the jurisdiction in physical space and realizes the functional integration of law enforcement agencies across the line. Such integration eliminates the blind spots of urban management and constructs the basic unit of urban management, providing a basis for standardized and refined management. It improves the convenience of public service provision, which is conducive to the government’s further equalization and standardization of public services
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