Fluctuation suppression to optimize initial data to increase the quality of truncation approximants in probabilistic evolution approach for ODEs: Basic philosophy

Abstract

This work focuses on initial fluctuation optimization on truncation approximants of Probabilistic Evolution for Ordinary Differential Equations (ODEs). Probabilistic Evolution Approach (PEA) is a new method which is proposed by Metin Demiralp and his group (Group of Science and Methods of Computing). This approximation enables us to convert nonlinear differential equations to linear ones.