Journal of Guangdong University of Technology ›› 2020, Vol. 37 ›› Issue (02): 87-93.doi: 10.12052/gdutxb.190050

• Comprehensive Studies • Previous Articles     Next Articles

Support Vector Machines Based Method to Solve Discrete Linear Differential Equations

Wang Dan-rong, Mo Yan   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2019-04-04 Online:2020-03-10 Published:2020-02-12

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Abstract: Support vector machines (SVMs) show excellent effectiveness and feasibility in solving approximation problems. Solving differential equations is a hot topic studied by many scholars, in which the solutions of discrete differential equations and their inverse problems are of great significance. A method of solving discrete linear differential equations and their inverse problems is proposed by combining support vector machines, Tikhonov regularization and the theory of reproducing kernels. This method is suitable for solving general discrete linear differential equations and their inverse problems. This method can obtain sparse solutions with analytical expressions, which is convenient for subsequent applications. Experiments show that the proposed method is effective.

Key words: discrete linear differential equations, inverse problems, Tikhonov regularization, reproducing kernel, support vector machines

CLC Number: 

  • O172.1
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