Comparison and Performance Analysis of Microscopic Depletion Equation Solving Method

The solving of depletion equation is the key to carry burnup calculation out. The common methods are Taylor method, Pade method, Krylov method, Chebyshev rational approximation method (CRAM) and Runge-Kutta method, and so on. By means of numerical experiment, analysis comparison was undertaken from angles of efficiency, accuracy and stability. The results show that Krylov method and Taylor method take the advantage in efficiency, and Taylor mehod and Pade method take advantage in both accuracy and stability. In a word, Taylor method behaves best as a whole, which can be chosen as the candidate for the final depletion method.