W2^2(D)空间第一类算子方程近似解  被引量:6

THE APPROXIMATE SOLUTION OF THE FIRST KIND OPERATOR EQUATION IN W_2~2(D) SPACE

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作  者:吴勃英[1] 

机构地区:[1]哈尔滨工业大学数学系,哈尔滨150001

出  处:《高等学校计算数学学报》1999年第4期369-376,共8页Numerical Mathematics A Journal of Chinese Universities

基  金:国家自然科学基金资助项目。

摘  要:In this paper,approximately solving the first kind of operator equations in the space W22(D) is discussed and the approximate solution is given.It converges u- niformly to the analytical solution as the density of the nodes increases infinitely and error decreases monotonically as the number of the nodes increases.In this paper,approximately solving the first kind of operator equations in the space W_2~2(D) is discussed and the approximate solution is given.It converges u- niformly to the analytical solution as the density of the nodes increases infinitely and error decreases monotonically as the number of the nodes increases.

关 键 词:SOBOLEV空间 算子方程 近似解 再生核 

分 类 号:O177.6[理学—数学]

 

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