Modified Block Method for the Direct Solution of initial Value Problems of Fourth order Ordinary Differential Equations

Ademiluyi, R. A.; Duromola, M. K.; Bolaji, Bolarinwa
July 2014
Australian Journal of Basic & Applied Sciences;Jul2014, Vol. 8 Issue 10, p388
Academic Journal
In this article, we present a new block method for the direct solution of initial value problems of fourth order ordinary differential equations. The approach of collocation approximation is adopted in the derivation of the main scheme with continuous coefficients, from where additional schemes were developed. The implementation strategy is by combining the main scheme and the additional schemes as simultaneous integrator to initial value problem of fourth order ordinary differential equations. Properties analysis of the block showed that it is consistent, convergent, zero stable and absolutely stable. Our method was tested with numerical examples solved using existing method and was found to give better results.


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