%0 Journal Article
%A Oghonyon, J. G.
%A Egharevba, M. E.
%A IMAGA, OGBU FAMOUS
%D 2022
%F eprints:16967
%J TRANSACTIONS on MATHEMATICS
%K fuzzy differential equations; ebp-bcm; principal local truncation errors; converging-criteria; max-error
%T The Extended Block Predictor-Block Corrector Method for Computing Fuzzy Differential Equations
%U http://eprints.covenantuniversity.edu.ng/16967/
%X Over the years, scholars have developed predictor-corrector method to provide estimates for ordinary  differential equations (ODEs). Predictor-corrector methods have been reduced to predicting-correcting method with  no concern for finding the convergence-criteria for each loop with no suitable vary step size in order to maximize  error. This study aim to consider computing fuzzy differential equations employing the extended block predictorblock corrector method (EBP-BCM). The method of interpolation and collocation combined with multinomial  power series as the basis function approximation will used. The principal local truncation errors of the block  predictor-block corrector method will be utilized to bring forth the convergence criteria to ensure speedy  convergence of each iteration thereby maximizing error(s). Thus, these findings will reveal the ability of this  technique to speed up the rate of convergence as a result of variegating the step size and to ensure error control.  Some examples will solve to showcase the efficiency and accuracy of this technique.