湖北汽车工业学院学报2025，Vol.39Issue(1)：20-22,27,4.DOI:10.3969/j.issn.1008-5483.2025.01.004
基于RK-LS-SVM求常微分方程的近似解
Approximate Solution of Ordinary Differential Equations Based on RK-LS-SVM
摘要
Abstract
A RK-LS-SVM method combining the Runge-Kutta(RK)method with the least squares support vector machine(LS-SVM)was proposed to approximate the initial value problem of linear ordi-nary differential equations.Firstly,the numerical solution of the differential equation was obtained through the fourth-order Runge-Kutta method.Then,this numerical solution was transformed into the constraint conditions of the LS-SVM regression model,and the optimization problem was solved.The obtained approximate solution in closed form was continuously differentiable with high accuracy.Nu-merical examples have verified the effectiveness and feasibility of this method.关键词
Runge-Kutta法/LS-SVM/线性常微分方程/初值问题Key words
Runge-Kutta method/LS-SVM/linear differential equation/initial value problem分类
数理科学引用本文复制引用
胡蝶,吴俊,肖海霞,黄尚柱..基于RK-LS-SVM求常微分方程的近似解[J].湖北汽车工业学院学报,2025,39(1):20-22,27,4.基金项目
应用数学湖北省重点实验室开放基金(HBAM202105) （HBAM202105）
