... Controle et Estimation Stochastique des Arrondis de Calculs method (CESTAC) and the Control of Accuracy and Debugging for Numerical Applications (CADNA) library are used to control the rounding error estimation. We also take advantage of the discrete stochastic arithmetic (DSA) to find the optimal iteration, optimal error and optimal approximation of the HPM. The comparative graphs between exact and approximate solutions show the accuracy and efficiency of the method. © 2020 by the authors. Licensee ...
Теги: cadna library , cestac method , homotopy perturbation method , stochastic arithmetic , volterra integral equation with piecewise continuous kernel
