A FIFTH-ORDER BLOCK METHOD FOR THE SOLUTION OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

This research work presented a fifth-order block method for solving general fourth-order initial value problems of ordinary differential equations with initial value problems. Method of collocation and interpolation of power series approximate solution was used to derive a linear multistep method with continuous coefficients. Derived schemes were employed in Block to generate the non-overlapping solution at selected grid points. The method developed is consistent, zero-stable and convergent. The performance of the new block method is tested with some fourth order initial value problems and it was found to compare favorably with some existing methods.