Stable linear multistep methods with off-step points for the solution of ordinary differential equations

Abstract

STABLE LINEAR MULTISTEP METHODS WITH OFF-STEP POINTS FOR THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS I. M. ESUABANA, S. E. EKORO, U. A. ABASIEKWERE, E. O. EKPENYONG, T. O. OGUMBE Department of Mathematics, University of Calabar, P.M.B. 1115, Calabar, Cross River State, Nigeria Department of Mathematics, University of Uyo, P.M.B. 1017, Uyo, Akwa Ibom State, Nigeria Copyright © 2022 the author(s). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract: Of recent, stability has become an important concept and a qualitative property in any numerical integration scheme. In this work, we propose two stable linear multistep methods with off-step points for the numerical integration