An A- Stable Block Integrator Scheme for the Solution of First Order System of IVP of Ordinary Differential Equations

In this article, we present an A- stable block integrator scheme for the solution of first order system IVP ordinary differential equations. The at a single integration step produces four approximate values yn+1, yn+2, yn+3 and yn+4 point xn+1, xn+2, xn+3 xn+4 respectively. stability property are checked, method is zero stable, A–stable 6. Some test problems solved with proposed result compared some existing method. found to have advantages in terms accuracy, minimum errors less computational time. Hence, recommended solving