A Quasi-solution Method for An Inverse Heat Conduction Problem to Reconstruct The Surface Temperature

Consider an inverse surface temperature model of heat conduct equation in a finite pole. First, the uniqueness of the inverse surface temperature problem is discussed and the inverse problem is formulated to a minimization functional problem by the quasi-solution method. By the finite approximation of surface temperature, the inverse problem is transformed into a series of well-posed direct problem of heat conduct equation, and the minimization functional problem is discreted to a linear algebra system based on the principle of superposition. Finally, the approximate solution of surface temperature is obtained by solving the linear system. Numerical examples show that the method of this paper is efficient and it has a strong stability.