Abstract

CONTINUOUS FOURTH DERIVATIVE BLOCK METHOD FOR SOLVING STIFF SYSTEMS FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (ODEs)

Ukpebor, L.A and Adoghe, L.O.

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Abstract This paper presents k-point continuous fourth derivative block methods (CFDBM) of order k + 4 for the solution of stiff systems of ordinary differential equations. The approach uses the collocation and interpolation technique to generate the main continuous fourth derivative method (CFDM) which is then used to obtain the additional methods that are combined as a single block method. Analysis of the methods shows that the method is A-stable up to order eight. Numerical examples are given to illustrate the accuracy and efficiency of the proposed method. Keywords: Foruth derivative, Block method, Stiff problems, Continuous,

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