| 用无网格Galerkin法求解两点边值问题 |
| |
| 引用本文： | 刘婷,周德亮.用无网格Galerkin法求解两点边值问题[J].通化师范学院学报,2009,30(12):18-19,46. |
| |
| 作者姓名： | 刘婷 周德亮 |
| |
| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029 |
| |
| 摘 要： | 用无网格Galerkin法求解两点边值问题，在Galerkin方程中，形函数用移动最小二乘近似构造，边值条件由位移约束方程法引入．通过数值算例分析了参数的不同取值对解的精度的影响，验证了本文方法的有效性．
|
| 关 键 词： | 常微分方程 移动最小二乘近似 Galerkin法 MATLAB |
Solution of Two-point Boundary Value Problems by Using Mesh Free Galerkin Method |
| |
| LIU Ting,ZHOU De-liang.Solution of Two-point Boundary Value Problems by Using Mesh Free Galerkin Method[J].Journal of Tonghua Teachers College,2009,30(12):18-19,46. |
| |
| Authors: | LIU Ting ZHOU De-liang |
| |
| Institution: | LIU Ting, ZHOU De- liang (School of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, China) |
| |
| Abstract: | This paper solves two - point boundary value problems by using mesh free Galerkin method. In the Galerkin equation, shape function is constructed by moving least square approximation and boundary value condition is introduced by the method of displacement constraint equation. The example analyses the influence of the solution by the different parameters and shows that the method is effective. |
| |
| Keywords: | MATLAB |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
