Implicit One Step Continuous Hybrid Blocks Methods with Five Off-steps Point from Fifth Degree Chebyshev Polynomials

In this paper a self starting one step continuous block hybrid formulae{CBHF} with fve off-steps points is developed from zeros of Chebyshev polynomial using collocation and interpolation techniques. The (CHBHF) is then used to produce multiple numerical integrators which are of uniform order and are arrange into a single block matrix equations. These equations are simultaneously applied to provide the approximate solution for the stiff ordinary differential equations. The order of method and stability of the block method is discussed and its accuracy is established. Furthermore, the new block method possesses the desirable features of being A-stable, which is requirement for a method to solve stiff differential equations, also being self-starting and eliminates the used of predictor-corrector method.