Modified Fourth Derivative Block Method and its direct applications to third-order initial value problems
Lukuman Momoh,
M. L DUROMOLA,
O. O. KUSORO
Abstract:A theoretical order eight Modified Fourth Derivative four-step block method (MFDFBM) has been derived, analysed and numerically applied to solve multiple problems originating from Fluid Dynamics, engineering and other sciences. The MFDFBM was derived by applying collocation and interpolation techniques to a power series approximation. Further introducing fourth derivative terms at each of the collocating points yields a block method with an improved order of accuracy. It was observed that the order of the bloc… Show more
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