Finite-difference Models of Thomas System Based on Semi-implicit Multistep Integration

Abstract

Multistep integration methods are an effective and widely used tool for obtaining the numerical solution of ordinary differential equations. In this study, new multistep semi-explicit methods for numerical integration of the chaotic Thomas system are considered. We present the general scheme of such algorithms with the table of coefficients for various orders of accuracy. The proposed methods are compared with well-known multistep algorithms including Adams-Bashforth, AdamsMoulton methods and the backward differentiation formula.