TY  - JOUR
AU  - Jacob, Kayode Sunday 
PY  - 2008
TI  - An Order Six Zero-Stable Method for Direct Solution of Fourth Order Ordinary Differential Equations
JF  - American Journal of Applied Sciences
VL  - 5
IS  - 11
DO  - 10.3844/ajassp.2008.1461.1466
UR  - https://thescipub.com/abstract/ajassp.2008.1461.1466
AB  - 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.