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

  • S. E. Ekoro Department of Mathematics, University of Calabar, Calabar, Cross River State, Nigeria
  • M. N. O. Ikhile Department of Mathematics, University of Benin, Benin, Edo State, Nigeria
  • I. M. Esuabana Department of Mathematics, University of Calabar, Calabar, Cross River State, Nigeria
Keywords: Linear multistep methods, hybrid, nesting, interpolation, collocation, boundary locus.

Abstract

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

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Published
2018-05-11
Section
Articles