Title: A study on the application of teaching differential equations in higher mathematics based on visual network topology algorithm

Authors: Li Li

Addresses: College of Mathematics and Computer Science, Yan'an University, Yan'an, 716000, China

Abstract: The effect of teaching evaluation of differential equations in higher mathematics involving network visualisation is extremely advantageous in a multidimensional evaluation system. The study compares the teaching idea of higher mathematical differential equations to a signal flow diagram in a network topology, with mathematical variables as branch nodes for visual structural presentation. A force-guided layout algorithm is introduced to avoid crossover and overlap of nodes. A grey wolf optimisation algorithm incorporating dynamic weights is also used to prioritise the mathematical calculations in conjunction with the features of mathematical differential teaching. The results of the algorithm performance tests showed that the IGWO-visualised layout algorithm had the best optimisation of the functions, with an average optimisation time of 1.6874 s, while the force-guided layout algorithm had an average optimisation time of 12.5986 s.

Keywords: visual networks; force-guided layout algorithms; IGWO; teaching; topology.

DOI: 10.1504/IJCSYSE.2024.137448

International Journal of Computational Systems Engineering, 2024 Vol.8 No.1/2, pp.87 - 95

Received: 16 Nov 2022
Accepted: 09 Mar 2023
Published online: 19 Mar 2024 *

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