HIGH ORDER SECOND DERIVATIVE DIAGONALLY IMPLICIT MULTISTAGE INTEGRATION METHODS FOR ODES

Construction of second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass general linear with Runge–Kutta stability property requires to generate the corresponding conditions depending parameters methods. These which are system polynomial equations can not be produced by symbolic manipulation packages for order p ≥ 5. In this paper, we describe an approach construct SDIMSIMs using some variant Fourier series method has been already used construction high Examples explicit and five six given respectively appropriate both non-stiff stiff differential systems in sequential computing environment. Finally, efficiency constructed is verified providing numerical experiments.