Mathématiques physiques

Stability Analysis of the 2-Point Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off-Step Points

Abstract

Bature B and Musa H

In this paper, the stability region of the 2-point diagonally implicit super class of block backward differentiation formula with off-step points is to obtain and demonstrate its suitability for solving stiff ODEs. The stability region must cover the entire negative half-plane for the method to be suitable for solving stiff differential equations, analysis also shows that the method is zero stable.