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Home  >  Transactions OF NAMP VOL1

21. Variable Order Multi-Derivative Linear Multistep Methods with one Off-Step Point by R. I. Okuonghae, E. M. Ezeimo and M. N. O. Ikhile Transactions of NAMP Vol. 1, (Nov., 2015), pp 169 – 178
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Abstract

This paper exploresmulti-derivative methods with one off-step point for stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The choice of the grid point gives -stability property of the resultant hybrid methods. Though machine limitation has constrained the investigation of the hybrid linear multistep methods (LMM) beyond the step number  ,but the methods are  -stable for   and are of order . Numerical results demonstrates the application of these methods on stiff problems.

Keywords: Backward differentiation formulas, General linear methods (GLM), MuIti-derivative LMM, Third derivative linear multistep methodsA/A( )-stability.

AMS subject classification: 65L05, 65L06

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