摘要
在再生核空间中考虑一类非线性抛物型偏微分方程反问题,以级数的形式给出了解的精确表达,并证明了构造出来的迭代序列是收敛到精确解的.最后给出了数值算例,其结果是令人满意的.
The numerical solution of a kind of inverse problem for nonlinear parabolic differential equations in reproducing kernel space is considered.We give the exact expression of the solution in the form of series and prove that the iteration sequence constructed converges to the exact solution.Finally,we give a numerical example and its result is satisfactory.
出处
《哈尔滨师范大学自然科学学报》
CAS
2007年第5期20-23,共4页
Natural Science Journal of Harbin Normal University
关键词
再生核空间
抛物型微分方程
非线性
反问题
Reproducing kernel space
Parabolic equations
Nonlinear
Inverse problem
