Journal of Applied Mathematics & Bioinformatics

A sixth-order exponentially fitted scheme for the numerical solution of systems of ordinary differential equations

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  • Abstract

    A class of sixth-order three-step second derivative scheme is developed for stiff systems of ordinary differential equations. The numerical stability analysis of the scheme revealed that, it is A-stable. The result of some standard numerical examples are presented which allow an appraisal of the proposed scheme with existing methods.