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Home  >  Transactions of NAMP VOL 7

19. NEW THIRD DERIVATIVE LINEAR MULTISTEP METHODS FOR STIFF IVPs by K. O. Muka, A. S. Olu-Oseh, A. P. Ijezie Transaction Volume 7, (March, 2018), pp127 – 134
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NEW THIRD DERIVATIVE LINEAR MULTISTEP METHODS FOR STIFF IVPs

K. O. Muka, A. S. Olu-Oseh, A. P. Ijezie

Department of Mathematics, University of Benin, Benin City.

Abstract

In this article, a class of stiffly stable third derivative linear multistep methods (TDLMM) is presented and analysed. The newly proposed method is a modification of the third derivative backward differential formula (TDBDF). The TDBDF is inefficient for order p=12. The proposed class of method is stable for order p≤12. Numerical tests on linear and nonlinear stiff systems of initial value problems show that, the proposed method compares favourably with TDBDF.

Keywords: Stability region, Stiffly stable, Order.

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