Abstract

In this study, a new block method of order nine is proposed to solve second order initial value problems of ordinary differential equations directly. The method is developed via interpolation and collocation approach where the use of power series approximate solution as a basis function is considered. The properties of the developed block method which includes zero-stability, order, consistency and convergence are also established. The numerical results reveal that the new method performs better than the existing method when applied for solving second order ordinary differential equations.

Keywords:

Block method, collocation, interpolation, initial value problems, ordinary differential equations,

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Competing interests

The authors have no competing interests.

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The authors have no competing interests.