Implicit Second Derivative Hybrid Linear Multistep Method with Nested Predictors for Ordinary Differential Equations

S. E. Ekoro, M. N. O. Ikhile, I. M. Esuabana


In this paper, we considered an implicit hybrid linear multistep method with nested hybrid predictors for solving first order initial value problems in ordinary differential equations. The derivation of the methods is based on interpolation and collocation approach using polynomial basis function. The region of absolute stability of the method is investigated using the boundary locus approach and the methods have been found to be stable for step-length


Linear multistep methods; hybrid; nesting; interpolation; collocation; boundary locus.

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