【摘要】 讨论一类偏微分方程数值解的稳定性,这种方程源于Sturm-Liouville算子逆谱问题中变换算子法.证明这类偏微分方程差分格式解的存在性、唯一性、收敛性定理及稳定性定理成立.更多还原

【Abstract】 In this paper we discuss the numerical solution of a class of partial differential equations,which arises from the transformation operator method of inverse spectral problems of Sturm-Liouville operators.Then we will show that the four theorems hold,which are respectively existence theorem,uniqueness theorem,convergence theorem and stability theorem for solution of the difference equations of the partial differential equation in the transformation operator method of Sturm-Liouville operators.更多还原