Based on the method of fundamental solutions, we develop in this paper a new computational method to solve two-dimensional transient heat conduction inverse problems. The main idea is to use particular solutions as radial basis functions (PSRBF) for approximation of the solutions to the inverse heat conduction problems. The heat conduction equations are first analyzed in the Laplace transformed...

This work presents a modified procedure to use the concept of dynamic observers based on Green’s functions to solve inverse problems. The original method can be divided in two distinct steps: i) obtaining a transfer function model GH and; ii) obtaining heat transfer functions GQ and GN and building an identification algorithm. The transfer function model, GH, is obtained from the equivalent dyn...

In the applied mathematical modelling of heat transfer systems, coefficient (HTC) is one most important parameters. This paper proposes a combination Method Fundamental Solutions (MFS) with particle filter Sequential Importance Resampling (PF-SIR) to estimate time-dependent HTC in two-dimensional transient inverse conduction problems from non-standard boundary integral measurements. These measu...

• Solving the Inverse Heat Conduction Problem (IHCP) is a common approach to estimate surface heat fluxes involved in transient, quenching experiments. It well known that ambiguities are inherent IHCPs and uncertainties can be large. A “virtual experiment” followed analyze accuracy of flux estimations The results show there unavoidable issues experiments significantly overestimate temperature i...

Abstract The integro-differential equation of heat conduction with the time-convolution integral on right side is considered. direct problem initial-boundary for this equation. Two inverse problems are studied consisting in determining a kernel member two given additional conditions respect to solution problems, respectively. replaced equivalent system equations unknown functions and basis cont...