A two‐dimensional inverse heat conduction problem for estimating heat source
Copyright policy )A two‐dimensional inverse heat conduction problem for estimating heat source
This note considers the problem of estimating unknown time‐varying strength of the temporal‐dependent heat source, from measurements of the temperature inside the square domain, when the prior knowledge of the source functions is not available. This problem is an inverse heat conduction problem. In this process, the direct problem will be solved by using the heat fundamental solution. Then a sequential algorithm is developed to solve a Volterra integral equation, which has been produced by using unknown source term and overposed data conditions. This algorithm is based on the piecewise linear continuous functions. The performance of the present technique of inverse analysis is evaluated, by means of several numerical experiments, and is found to be very accurate as well as efficient.
- IE University Spain
- Iran University of Science and Technology Iran (Islamic Republic of)
Inverse problems for integral equations, Inverse problems in thermodynamics and heat transfer, Volterra integral equations, Heat equation, QA1-939, Heat and mass transfer, heat flow, inverse heat conduction problem, Volterra integral equation, Numerical methods for inverse problems for integral equations, Mathematics
Inverse problems for integral equations, Inverse problems in thermodynamics and heat transfer, Volterra integral equations, Heat equation, QA1-939, Heat and mass transfer, heat flow, inverse heat conduction problem, Volterra integral equation, Numerical methods for inverse problems for integral equations, Mathematics
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