Dynamical analysis in explicit continuous iteration algorithm and its applications

Abstract

Abstract This article is devoted to the dynamical analysis of an explicit continuous iteration algorithm, describing its construction, relationship with the explicit trapezoid method, and error analysis. A theorem demonstrating the equality of these methods is also established. The accuracy of the theoretical results and universality of the explicit continuous iteration algorithm are proved by numerical experiments.

Keywords

• Error analysis
• Explicit continuous iteration algorithm
• Implicit method
• Numerical simulation