Abstract

AN IMPROVED SIXTH ORDER MULTI-DERIVATIVE BLOCK METHOD USING LEGENDRE POLYNOMIAL FOR THE SOLUTION OF THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS

BADMUS AM

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Abstract This study focuses on derivation of uniform order six multi-derivative hybrid methods at ?=4 by Legendre series as our bases function for the solution of General Third Order Ordinary Differential Equations. All the discrete schemes used to form our block method were gotten from a single continuous formulation of the method. The results from the two test problems used shows that the proposed method is almost as the classical solutions. Keywords :( Multi-derivative, Legendre polynomial, Continuous formulation, third order ODEs)

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