A Block Hybrid Implicit Algorithms for Solution of First Order Differential Equations

The paper consider the derivation of block hybrid algorithms , with k=4 for solution of first order ordinary differential equations, we adopted the method of interpolation and collocation of power series approximation to generate the continuous formula, which was evaluated at off grid and some grid points within the step length to generate the proposed block schemes. Also the schemes obtained were investigated and found to be consistent and zero stable. Finally the method is tested with numerical experiments to ascertain their level of accuracy.