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   Solving An Inverse Problem For A Parabolic Equation With A Nonlocal Boundary Condition in the Reproducing Kernel Space  
   
نویسنده Mohammad Maryam ,Mokhtari Reza ,Toutian Isfahani Freshteh
منبع Iranian Journal Of Numerical Analysis And Optimization - 2014 - دوره : 4 - شماره : 1 - صفحه:57 -76
چکیده    On the basis of a reproducing kernel space, an iterative algorithm for solving the inverse problem for heat equation with a nonlocal boundary condition is presented. the analytical solution in the reproducing kernel space is shown in a series form and the approximate solution vn is constructed by truncating the series to n terms.the convergence of vn to the analytical solution is also proved. results obtained by the proposed method imply that it can be considered as a simple and accurate method for solving such inverse problems.
کلیدواژه Inverse Problem ,Parabolic Equation ,Nonlocal Boundary Conditions ,Reproducing Kernel Space
آدرس Isfahan University Of Technology, هیات علمی, ایران, Isfahan University Of Technology, هیات علمی, ایران, Isfahan University Of Technology, هیات علمی, ایران
پست الکترونیکی f.toutianesfahani@math.iut.ac.ir
 
     
   
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