Modification Of High Performance Training Algorithms for Solve Singularly Perturbed Volterra integro-differential and integral equation

Abstract

        In this paper, we apply  neural network for solve  singularly perturbed Volterra integro-differential equations (SPVIDE) and singularly perturbed Volterra integral equations (SPVIE). Using Modification Of High Performance Training Algorithms such as quase-Newton, Levenberge-Marqaurdt, and Baysian Regulation. The proposed method was compared with the standard training algorithms and analytical methods. We found that the proposed method is characterized by high accuracy in the results, a lower error rate and a speed that is much convergent to standard methods.