keywords: Explicit methods, stiff ODEs, region of absolute stability
In this research paper, the continuous Block Hybrid explicit methods for k equal4 was derived from Adams Bashforth methods. The continuous scheme was evaluated at different points to obtain discrete schemes. The order, error constant, zero stability and consistency of the resulting discrete schemes were ascertained. The region of absolute stability of the block hybrid scheme was plotted. The schemes were experimented in solving some stiff and non stiff initial value problems (IVP) in block form. It was observed that the block hybrid explicit methods obtained in this work performed better than the conventional Adams Bashforth method in terms of Accuracy, Efficiency and Stability.