| 一维波动方程初值问题的迭代解法 |
| |
| 引用本文： | 郑洲顺,郑珊,岳书霞,黄辉. 一维波动方程初值问题的迭代解法[J]. 延边大学学报(自然科学版), 2008, 34(3) |
| |
| 作者姓名： | 郑洲顺 郑珊 岳书霞 黄辉 |
| |
| 作者单位： | 中南大学数学科学与计算技术学院 |
| |
| 摘 要： | 运用变分迭代算法对一维波动方程初值问题进行求解,给出了根据初值条件选定迭代初值的公式,证明了由它迭代得到的近似解是收敛到由达朗贝尔公式给出的精确解,并用具体实例演示了此方法的应用.
|
| 关 键 词： | 变分迭代算法 广义拉氏乘子 一维波动方程 |
The Iteration Method of One-dimensional Wave Equation's InitialValue Problem |
| |
| ZHENG Zhou-shun,ZHENG Shan,YUE Shu-xia,HUANG Hui. The Iteration Method of One-dimensional Wave Equation's InitialValue Problem[J]. Journal of Yanbian University (Natural Science), 2008, 34(3) |
| |
| Authors: | ZHENG Zhou-shun ZHENG Shan YUE Shu-xia HUANG Hui |
| |
| Abstract: | The variational iteration method (VIM) is used for analytic treatment of One-dimensional wave equation's initial value problem.Expression of iteration initial value was given,and it is proved that approxi- mations of the iteration initial value converge to exact solution of D'Alembert formula.A concrete example was demonstrated at the end. |
| |
| Keywords: | variational iteration method general Lagrange multiplier wave equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
