Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

Document Type : Research Article

Authors

• M. Mohammadi
• R. Mokhtari
• F. T. Isfahani

Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156- 83111, Iran.

10.22067/ijnao.v4i1.23266

Abstract

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.

Keywords

• Inverse Problem
• Parabolic equation
• Nonlocal boundary conditions
• Reproducing kernel space

20.1001.1.24236977.2014.4.1.4.2

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