Z. Eskandari, M.Sh. Dahaghin
Department of Mathematics
University of Shahrekord
Shahrekord, IRAN

Abstract. In this paper we produce a special general linear multi-step method for special second-order differential equations. We use the one super-future point technique in order to obtain our method with high order and wide region of absolute stability. Finally the numerical results are compared with the method introduced in [3].

Received: June 28, 2011

AMS Subject Classification: 65L05, 65L06

Key Words and Phrases: initial value problem, Absolute stability, second-order ordinary differential equations, special multi-step methods, super-future point technique

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