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

Abstract

Abstract 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.

Keywords

• Numerical solutions
• High-order ordinary differential equations
• Two-point boundary value problems
• Multi-point boundary value problems
• LS-SVM algorithms