Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 324
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شناسه ملی سند علمی:
JR_IJNAO-4-1_004
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
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 ها:
نویسندگان
m Mohammadi,
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran
r Mokhtari
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran.
f.t Isfahani
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran.