节点文献
一类非特征Cauchy问题的积分方程方法
Integral equation method for solving a noncharacteristic Cauchy problem
【摘要】 利用积分方程方法讨论了一类抛物方程变系数非特征Cauchy问题,恢复了解的稳定性,得到了误差估计,并给出了数值算例.
【Abstract】 A noncharacteristic Cauchy problem for the parabolic equation with variable coefficient was investi- gated by the integral equation method. The stability of the solution was restored and the error estimate was also obtained. Finally, several numerical examples were presented to show the effectiveness of the proposed method.
【关键词】 非特征Cauchy问题;
积分方程方法;
不适定问题;
正则化;
【Key words】 noncharacteristic Cauchy problem; integral equation method; ill-posed problem; regularization;
【Key words】 noncharacteristic Cauchy problem; integral equation method; ill-posed problem; regularization;
【基金】 国家自然科学基金项目(11171136)
- 【文献出处】 兰州大学学报(自然科学版) ,Journal of Lanzhou University(Natural Sciences) , 编辑部邮箱 ,2011年06期
- 【分类号】O175.5
- 【被引频次】1
- 【下载频次】34