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Home  >  Volume 40

Modified Second Derivative Backward Differentiation Formulas with Recursively Nested Hybrid Evaluations by P.O Olatunji and M.N.O Ikhile (pages 83-90)
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Abstract

A class of variable order second derivative backward differentiation formula with recursive hybrid evaluationis presented. The modified second derivative backward differentiation formula with recursively nested hybrid evaluation(MBDFRHE) is A-stable for step number  k=1(1)5, circumventing the Dahlquist second order barrier and the Daniel – Moore conjecture for A-stable linear multistep methods.

Keywords: A-stable, recursive hybrid, stiff problem, order, stability.

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