Title: Nonlinear programming differential equation method for architectural landscape spatial structure engineering in dynamics systems

Authors: Kang Xiao; Yu Chen; Mei Xue

Addresses: College of Fine Arts and Design, Chaohu University, Hefei 238000, Anhui, China ' College of Fine Arts and Design, Chaohu University, Hefei 238000, Anhui, China ' College of Fine Arts and Design, Chaohu University, Hefei 238000, Anhui, China

Abstract: In response to the problems of excessive model simplification and difficulty in parameter adjustment in current architectural landscape spatial structure planning, nonlinear programming differential equations (NPDEs) were applied to improve computational efficiency. Firstly, key features of architectural landscape spatial structure were defined, and nonlinear partial differential equations were used to simulate the evolution of spatial form over time. Secondly, architectural landscape observation data can be collected, and regression analysis can be used to identify key parameters of differential equations. Afterwards, the simulated annealing (SA) algorithm can be used to find the optimal parameter values. Then, the finite element method (FEM) can be applied to solve nonlinear differential equations. Finally, the paper presented the architectural landscape spatial structure under multiple feasible solutions (Pareto optimal solution set) and compared the key indicators of the paper's method with those of traditional models.

Keywords: architectural landscape; spatial structure engineering; nonlinear programming differential equations; regression analysis; simulated annealing.

DOI: 10.1504/IJDSDE.2025.146950

International Journal of Dynamical Systems and Differential Equations, 2025 Vol.14 No.1/2, pp.44 - 63

Received: 28 Mar 2024
Accepted: 02 Dec 2024
Published online: 27 Jun 2025 *

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