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Purpose

– The purpose of this paper is to introduce an effective method for two-dimensional inverse heat conduction problems.

Design/methodology/approach

– The variational iteration method (VIM) is used to solve two-dimensional inverse heat conduction problems and restore boundary conditions in heat conduction.

Findings

– Numerical results compared with other methods show that the present method is remarkably effective for solving two-dimensional inverse heat conduction problems. This method is a very promoting method, which will be certainly found wide applications.

Originality/value

– The VIM is applied to two-dimensional inverse heat conduction problems for the first time.

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