NEWTON－KANTOROVICH　ITERATION　METHOD　FOR　SOLVING　INVERSE　PROBLEMS　OF　NONLINEAR　PARABOLIC　SYSTEMS  

作　　者：喻文焕 

出　　处：《Acta Mathematica Scientia》1994年第3期283-296,共14页数学物理学报（B辑英文版）

摘　　要：We consider to identify the parameters.which are functions of spatial and or time variables,in a quasi-linear parabolic equation.First,we prove that the solution of the parabolic equation is a smooth function with respect to the parameters,and then we give a modified Newton-Kantorovich iteration regularity method(NKR) to construct the solution of the inverse problem of the partial differential equation.Secondly,we give a proof of convergence for NKR. Finally,we give a computational example to show that the sequence generated by NKR does converge to the real solution of the inverse problem when the initial guess is close to it.We consider to identify the parameters.which are functions of spatial and or time variables,in a quasi-linear parabolic equation.First,we prove that the solution of the parabolic equation is a smooth function with respect to the parameters,and then we give a modified Newton-Kantorovich iteration regularity method(NKR) to construct the solution of the inverse problem of the partial differential equation.Secondly,we give a proof of convergence for NKR. Finally,we give a computational example to show that the sequence generated by NKR does converge to the real solution of the inverse problem when the initial guess is close to it.

分 类 号：O242[理学—计算数学]