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一类非特征Cauchy问题的积分方程方法

Integral equation method for solving a noncharacteristic Cauchy problem
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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. A noncharacteristic Cauchy problem for the parabolic equation with variable coefficient was investigated 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.
作者 邱春雨 傅初黎 王志林
机构地区 兰州大学数学与统计学院 兰州城市学院数学学院
出处 《兰州大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第6期98-103,共6页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(11171136)
关键词 非特征Cauchy问题 积分方程方法 不适定问题 正则化 noncharacteristic Cauchy problem integral equation method ill-posed problem regularization
分类号 O175.2 [理学—基础数学]
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参考文献12

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兰州大学学报（自然科学版）
2011年 第6期

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