The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations

Advances in Difference Equations

Muzhou Hou¹  Hongli Sun¹  Yunlei Yang¹  Yanfei Lu¹  Qingfei Yin¹  Hongyi Li¹ 

[1] 0000 0001 0379 7164, grid.216417.7, School of Mathematics and Statistics, Central South University, Changsha, China;

关键词: Numerical solutions;    High-order ordinary differential equations;    Two-point boundary value problems;    Multi-point boundary value problems;    LS-SVM algorithms;   

DOI  :  10.1186/s13662-019-2131-3

来源: publisher

【 摘 要 】

This paper introduces the improved LS-SVM algorithms for solving two-point and multi-point boundary value problems of high-order linear and nonlinear ordinary differential equations. To demonstrate the reliability and powerfulness of the improved LS-SVM algorithms, some numerical experiments for third-order, fourth-order linear and nonlinear ordinary differential equations with two-point and multi-point boundary conditions are performed. The idea can be extended to other complicated ordinary differential equations.

【 授权许可】

CC BY