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

Muhammad Abdullahi, Shamsuddeen Suleiman, Abdu Masanawa Sagir, Bashir Sule
2022 Asian Journal of Probability and Statistics  
In this article, we present an A- stable block integrator scheme for the solution of first order system of IVP of ordinary differential equations. The block scheme at a single integration step produces four approximate solution values of yn+1, yn+2, yn+3 and yn+4 at point xn+1, xn+2, xn+3 and xn+4 respectively. The order and stability property of the scheme are checked, the method is zero stable, A–stable and of order 6. Some test problems are solved with the proposed scheme and the result are
more » ... ompared with some existing method. The proposed method found to have advantages in terms of accuracy, minimum errors and less computational time. Hence, the method is recommended for solving first order system of IVP of ordinary differential equations.
doi:10.9734/ajpas/2022/v16i430407 fatcat:k5b7n4ywr5gy7o2vy2dkspxjqi