Solving boundary value problems of ordinary differential equations with non-separated boundary conditions |
| |
| Authors: | Kanittha Chompuvised Ampon Dhamacharoen |
| |
| Institution: | a Department of Mathematics and Applied Statistics, Faculty of Science and Technology, Nakhon Ratchasima Rajabhat University, Muang Distrinct, Nakhon Ratchasima 30000, Thailand
b Department of Mathematics, Faculty of Science, Burapha University, Bangsaen, Chonburi 20131, Thailand |
| |
| Abstract: | This paper focuses on solving the two point boundary value problem, in which boundary conditions are systems of nonlinear equations. The shooting method was used together with a combination of Newton’s method and Broyden’s method, to update the initial values of the differential equations. The experiments showed that the proposed method performed well, in the sense that the overall amount of work was less than that of the Newton Shooting method. |
| |
| Keywords: | Boundary value problem Non-separated boundary condition Shooting method Newton-Broyden method |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
