A novel adaptive approximate Bayesian computation method for inverse heat conduction problem

•Reanalysis based Approximate Bayesian computation (ABC) method is developed to address inverse heat conduction problem (IHCP).•A none-parametric population Monte Carlo method are proposed to improve the convergence rate of the ABC and reduce the size of samples.•To address the static IHCP, superposition principle based heat conduction solver is utilized.•To address the nonlinear dynamic IHCP, reanalysis based dynamic heat conduction solver is proposed.