Generalized Adams-Type Second Derivative Methods for Stiff Systems of ODEs.

In this paper, a family of second derivative generalized Adams-type methods (SDGAMs) is proposed. Here, a boundary value approach to the numerical solution of stiff initial value problems (IVPs) by means of second derivative linear multistep formulae (SDLMF) is presented. Stability analysis shows that these methods with order p = 2k + 2 for all values of the step-length k ≥ 1 are all 0v,k-v-stable and Av,k-v-stable which must be used with (v, k - v)- boundary conditions. [ABSTRACT FROM AUTHOR]