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
Asian Journal of Probability and Statistics · pp. 11–28 · Published 14 Mar 2022
10.9734/ajpas/2022/v16i430407Abstract
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 compared 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.
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