@article {10.3844/ajassp.2008.1461.1466, article_type = {journal}, title = {An Order Six Zero-Stable Method for Direct Solution of Fourth Order Ordinary Differential Equations}, author = {Jacob, Kayode Sunday}, volume = {5}, year = {2008}, month = {Nov}, pages = {1461-1466}, doi = {10.3844/ajassp.2008.1461.1466}, url = {https://thescipub.com/abstract/ajassp.2008.1461.1466}, abstract = {A zero-stable numerical method for direct solution of fourth order differential equations reduces the computational burden and computer time wastage involved in the method of reducing such equations to a system of first order equations. The method adopted is the collocation of the differential system and the interpolation of the approximate solution to the problem using the power series as a basis function. The method is consistent and symmetric with optimal order p = 6. A consistent and symmetric main predictor of order five is also developed for the evaluation of the implicit scheme.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }